Question
Describe the error student made in multiplying and simplifying![fraction numerator x plus 2 over denominator x minus 2 end fraction cross times fraction numerator x squared minus 4 over denominator x squared plus x minus 2 end fraction](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALsAAACGCAYAAACFdPsZAAAgAElEQVR4nOy995Mdx5Xv+cmsquvbe7SHJbwjYegkgk6iqNFIMzvv7fywb2beLzux/9FubMTuxMQb7ZOokagZedGTAOEI79FoNNDem2urMnN/yKrbtxsNiABJGKJPxEU3+rqsqlMnj/me7xHGGMNdRGsNgJSSlV4mhLjbW1dlVb52iXRQCIEx5r71z73bh0aP6INXZVUetUTGVwjxQIZW3uvJVcu9Kt8mWdGyV945Wmu01quKvyqPXCIdfFBdXNmNiX4aTaACjF7ZPzJIVm+BVXl4YhDCxpAP4srcRdkNGFBaEyhFEAQrf7ARsKruq/KwxGiEAM/zcN0VVfeectd3GEAgUErd3Y0xksV9YFVW5RuWUNkf1K2+++0hACEwrKrzqjwe8lXDxjuU3Sz7/Z7KvurBrMpDFGEW0+IPIvdMPa7KqjyO8qAKf9dsjOZLWPZVWZWHKEYAFQXP+5VVy74qT6R8bZYdY+8CA0gj0FogpLB3ViSCVZO/Kg9dBAKt9dej7CL8wEgkNnkvEFE+sqzjq/HpqjxUqdDvr82yL1fiqHS0ashX5ZHKV1T2VZ99VZ4YMaG2G2PKCMj7kVVlX5UnTlazMavy7ZdQvx/Ust8/muYRy93u6OVYia+zs2qlz1qpUyb6f2VHzde9lqdbDF+lj2jVsn8FWekGi9Jiqx1eX78IadX1a0s9rsqXEylleSs1xpT7dCut+oNstatyD6lQ8FWf/SGK1rqs8FEjgdYax3EAKJVK5ZtgVb4+ifbSVWV/yBIEAVLKciOB4zgopcp/i1oaV+VrlNA9VErd91tXlf0BJXJbtNbMzs4yOTlJqVQCQCmFEALprExBsipfXZ4Sn92E1dy7ZTPMN1LqNWUQhf3wIAiIuS6XL1/m6LGjzM7MUl1Tw+tvvklrSwuBVjhSovWdKxWE2OzoP6vypcQA8isE/o+NZTfGgNYIYxDGYAIV/h+U7yM1oDRGBUgUEhsMagNCOjZ2MQZpNBKNQGCMACRBYLc8mz3Ryx5fQoREG4E2oI3AGHCkg1GaVCLOhrW99HS2c/78Ba739+PEY2gEgTEoNEYYEAatFaCRRoMKQCkwlD/X/jQYo8HoVXzGMhHYWCkIgifbZ3ekRAqJ0QYVKBzHsQqrNVJIqwQYPMfBaI0KfIQBKR1AECgFGIzW5HM5CrkCWlnfznHsBvbALoWxpWohHLs+pfEcFwR0dnbw/MGD7Ny5k3giga80+WIJ13UxxgaxBtBh/6SUEmE0wii0VqggsHq9ZGkagT2eVVkqUcbriS4qBYHCKWc0ZDmTschsoDHaUApKGK0p+gHxlIPQGikFruuQz2W5cPYMtwb6cWIZntm8hZ7eHqQUFWxSD7I6bdGfWuFKAUaiVAAIpOOigoDhkVGEI2ltbbHBkzY40kEKgVIBIoSMGq2RjmR4ZITDR0/Su24dW7ZtW1XrLyMPyAQWyWNj2SORUlLyfXzfRymFUgpjDEGgcF2XWMxjdm6WEydPMjc7i5T24B3HIZtd4Gb/DUZGRvn888/55a9+yczMTDlN+NVOlEIFJW723+DSpYvkcjkmJiYYn5hkZnaez44cpampmZbmZmJerPy+QCmkEDiOg5QSKSW+73P69Bl+8c47XL58BT9QqxXV+5CvtS3vUUjM81BBQLFY5D//8z/Ztm0bQgiy2Sxbt24lHo8RBD6phEexUKCvr49de/biOC6FQgFwqaur4zvf+Q7xRIKPPj7CL3/9a2Zn52hqaiQIfOsaPYBOCaMxWoFRHP7sUy5fvsJf/ehHfHr4MJueeYaxsXGuXOvjBz/8IXNz86SSKVzXJe46Fv+vFUGphNIaz3WZmprizJmzIKBU8sFEZJ1f+2n9VsqT78aooNxfeOvWLa5evUpNTQ07duwgFoujtSabXeDsmav0999gaHCQTz7+hLb2TtatW4frpPA8j5bWFrTSlEol0uk0iUR8SbHnQUSgkRiEK+nq7ODw4cP87Oc/p6u3l7r6RvoHbtPe2c3I6Cixq3Fqq6tJxBNMT44TlHyEgEwmTVUmg18s8sUXX1DfWE9nZydKBbjug6/taRIROoMPGns9EmWvXGy5vA4YrUmlUuzatYt/+Zd/4eDBg6GFt6+YnpnlyOefc3tggJGxcQp+wJr2IRobG0mnk2htcKRgaHiYS5cvs3XLVpqbm1FKEYt5IaaCsutjq5+L26IQYgkMYFEErrTdWjt2bufP773H1ev9/M3/8l/YuWs3mzZvRSubIXA9SSadZvDWbf70pz8yPDxEMhHnhRee57lnn2Xg5k2OHD5CT08vgVJkczkWFhaoqq4JLbtBYIPxKC1Zeb5W3R0rT4wbU4kYNEajNbhSllNLs7Oz+L51O5LJZFkZm5ub+eHbb3P71gBHj3/BCy99h6aWFurrG0MF1cxPz/Hee3+mkM9z8OBBPM+znJVBABAqd7QSUfbno5O3UolfKI3SVgH7rt9gemYWrTUzszNICelUgsjuCAFaabyYR01NNcYoBNZNM8YwPT1Ddn6eixcvMDQ0QqEU0H/zJjt27EQI+70yVHhlrAGIdqWnvhob3udPFBCs0joJIXFdgUQgHYdLly5x7tw51qxZQ19fH8PDw6xdu5ZSqUQqmSTV2YFWilTqEq1trbStaccYMEYhNRw7epQ//P4PNLd10Xejj5JfYvv2bThORIZpKhTfFn0iqcS7LFmvAVd6TE5O8PEnn9DS3IIxcOzo5+x7bi+pVAaDREqBUvbGamxo4I033sBzHJQKcKQ9xt61vfzDP/4jMzOz/M+f/4K6+gbq6urQUW49zP9LaYtYquJmXLXqfCUqjUem7Mu3ZoHA9/2ycvf09HDkyBFyudyitRUCiSSRTNDe3h7msm0103UEuXye8ckJGpsaSSYSnDhxEt/32bBhPVVVmRCsFeA4Tvn7Pc+7Q8nv8O/Dkzs5NU0imeaVQ6/R19dHf38/c7OzVKUzCAG+UggpiXkuUgo810UiSGWqMNpyZjbWN9Le0sLE5CRnz1+ipa2dttZWXMcJi2D2phAYfL00/WqP9ymOYo0pp2gf5DyIlcbMRH8xxpDL5QlCrIeGRXYBYS3eV5EluG9tkEKQz+dRSpFOpxgfn6CmpoZEIgGA40jQAb5fJJcvkUhXIV2rrK4rCUpFCtk58vkCRsQwCFLpFOl0ylYlAaV8PM8LgUQitBIQi8XufgKFQAUKrRQL8wvUVFdTKOQpFQtUV1eTTCXx/QClCautGs/zEEajlUKK0H3CoAONK2yRaWh0AjeWoL6xMcwhW0oqgUJg0LhgTJhFEhSLxacaRSmMxihVTievW7fuPt//iJS9clsOgoC5mRnmZueW+M9CCGvVEDiug8EgUWFhxqUYaJAujuOgQxiBUQGO66CNh3BcdGhRYzGXhoYGkskEMzPTnDlzhurqajZv3koymSSXyzE6OrqiXyyEXOI/SwQYhec4aO3bnUcIDC6qAsfuCBDGwgSEsFViow1a+QgpEU4MZSysQIio4LWo7NKJ4fs+UtqdqKWlhUwm89Rad6vsAdPTVtnXr19/X+9/5KnHSOH7+vv5/PARq8hSokOXwJgwKxG6Ga40GK0QjocxoLQJ4QQKRxBiZkAJD7A3VaACWlqaeeWVV6iqSjNw8yb/+q//SnNzK//8z210dXUxMTHJJ59+wuTEJNIRCC0sRbKUCOHgGwsFcxyHUqloA2qjcaT1tR0pCbTESAcdctt7roMMc8KiArpmTIAQDhoJ0kWHa5bCKnqEHzBOzGJntMJxXd7+wQ+oqqoq71IVZ/GhXa9HLl+B3PSRKXtlf6brunR3dxNPxNGBwnNcu/1Li4kpaYXwHATgIhBGl+v+xkR4RIuDcV0XpTRGeiAlRikQhlQySVUmg1GKYrHI/Nwc6XQ1SlvAWFV1Nc/t20chn8OR4CDQgUYFiqHREWZm50llMqxp7yAWszeaQOOicUKQlxEuRjhY2FkYEBuDNja7IrHvsU87KGNAOOExAEYhUQhstiEQMRASDHieLZpZFGXFjcO9EKDfLhFQNnoPgmd/5JY9ksamJppbWygVizgIPMe14C67/xMYjcbgcueilbLZC7vlS4R0UEZiHGldjSAAYcpuV1dnJz/5yY+prW2kqbEJYyCdzrBu7TocCcLYG85ow+jQKDcHBiiV8ty6fJu2tjVs3boNACEMDgpXGFTgW0vtWMRjRC0VVftcV4agtohwytjXY4FiaI0UBnSJuCsINPgiBtIhKJVwHBnWB55OF6YsT1o2ZmWxKUHP9UBplNa2A0hAEG7bruNAENyB5nIcydWrVzl//jz5fJ6W1jZ27n6WTE0NWptyIUmEYV97ezt/9cO/wnHjuF4qrGK61rIKXbFVQiKVYtfOXRSCIv/znX/n8pUr7N27F9d1CYKSVdoQvGZhuuV8QWjLwyJWFAdZtkKbLq3gSBbSgsTCEVm4rqQUGDAGN4RSRMWwp1miCuoTrezRAUhH4vsBwhhyuRypdAqFIVCKmBO7A/kWBbHDw8PMzs4yNzfHZ4c/x/ESvPDySxZ96Dpl10AphRGSVCqFwUHpyC/XGGO3R9eR+H4J141RVV1LdU0tuWKOdDJFMpnACAspFlIijQBKCCEtxt3IxTaPsCJamT40WAy+zapYvL09DiySUmumpmbwlSJV04RwBY50LKSgwn17GiXqWXjisTFRHFosFonH4gzfvs0HH37Inr17yBbyCNdlw6aNxEM/fvF99uB37tzJ7t27GRwcZHhklKHhYXzft7hzLGpSYHcHEQGv7CeAMWgV4AjbSOH7AcrXYXXXphEHbt1iemaaF158ye4PxtptKUEHhsHBIVJVtSQyNWFxKFRlR2DCQNdxHbTSaB1glArdnahya52a8xcucPzzI2Tzedb0bOCl77xCfW1teHEN8imH0Txx2Ji7ipBIR4DWaGO4evUqg0NDGCl48bsvE4/HMb6/5GCjvHNVVRUxL8b4+Dh+EJCpyuA4LgbCJmhRdk+sFdVhQ4a0WJQw8Bu42c/58+d57rn9FIo+UzOztDY387vf/pbGxkZ6envCwNOmIrWAfKHI8ePH6dmwmU1bGmy2COuDF/MFpmdmqaqpRUqHQClSibhNNZZ9ewCBVopCsUhLawvTs7P88Y9/IJFK8+brb5R7WtE8VcmXu8kT7cZEF1OHLXQN9fX09vTyq1+/y/fffotNGzdhjOHatWucO30aFQRUV1dz4MABGhoabK7daPr6+pBS0t3VhZRglM2oOLHwUI2xlVhp2+CMMWHbnEAKmJuZ5f333iOXK5ItlojFE5w7f55jJ46zY8cuzp09x46dO6mpqcFxJI4Dge8zNTVFYzaL0hpHRN1IMDoyzB//9Gee2bKNXKFEKpVi37N7cDxbXTUVpPdCCrZt2Upy9y7Gxsc5ceYSExMTRJ6+UbpMFPRUilisvj/R2ZjF7dz2YMZiMRKJOAZDc0sL8XgcgIX5OW4NDFAoFGhsbCSfz5fv8v7+fo4fP8aWzZvp7V2L1tZ6xmIxtFFIsbSBwwDCAaOMzYkYaGttpamxiV//+j/YsHkLr3//LfquXmFtby+O4zA0PMy69eupra2lVChwtf86Q7cGGB4ehliaohL0dnfR1tKICFOew8ND9N0YoKqunkOvvobruJRKJfL5AtrYGCSdTuFJh3Q6Rcx1yebyONKhsbGJqIL3tGNjhN0Ovx0+exl3rg23b9/m2vXrxGNxrl+7xr4DB6iN1bF123bW9fSG7zFUVVUhhGBiYoJ3332XgYFbHDj4Agvz8xanEvOsq2LEYmCwTHSY9tM6oKW5mY0bNvL5sZN0dnezfedOdmzbhvPXPwTpYhB4nkcsFmNqaoI//enPXLl4jvGxUc5euUHdqXP8+Idv09pYh5GGlpYmNm3cwP/4/37O3/7d/8q27dsRUnLt2lWOfH6MYtGnrq6Wl19+mfY1LfjFAKMDLl26SCweY926tWEDyFMdm1oJM2RPfDYm2p50iJM5eeIEmUyGQ4cOcfHKJebmZqmtryMej1OVTC7hVNRac+7cOQ4fPozv+/zmN7/hxKmz/OgnP2ZtTy9aBdY4LhupYIyxJX1HIo3CdTwW5ucZHR7BDxQlP0AD8ZiHhyRQGulYqG6hUCCTTvPKd7/Lts0bOX7sKM1da+ndsI313R02Tap90Iq4a2+OqppaHC+GNj75XJ7pqWmKJb987CZMMw70XefY8WNs3LiFjo5O28kkRTneeNrliVd2KQVCSALfZioam5ro6ekhmUlTVVeDG47wNiGtXEQ7FwQ2R15fX8/rr7+O1pqSH5CpqScejyOFQIcpv+UihKWucBxpaS205tqVqwwODtHc3MzAwABzc/M01tfYADb09X3fVnfTqTRbt21jrr2NW7cGWLt+A3v27kVoH2MCkvE4g4O3uHjpAp7rMjg0RC6XpT6TYvPmzTQ2t9pdRwjq6+vR2lDMLfDhhx8yMT7Bq2+uI/B9tOviSNvkLV3vEVydx0+eaDcmqoK6roM2hj17duO5Hhpoa1+DG48R+D7SGHzfBywUN6KZW79+PV1dXfb/BnA84skkQeBbbIlzZ2AnhEAr3wanxjA/P8+p06dZv2EDew+8wAeHDzM0PExzQ63N5mjK+XJtDIFWuMKC1GKxGI6wMGTXcXGMIpdd4OSJk2TSaV579VVuDI0wPjZGbaqTZCpJezyJDGk+tNZgFJcuXeHEyZPMz8/zhz/8gS9On+Wvfvg2XV2dOE4Mox8s7fZtkQe16vAYKbsgSidJtIFUOo1WGikEXsIWk3ylyjwxNuUYFWgcEskU6UxVufXOSIlR9qRIIZdgScrfKUQFZNZBSYee9etp7+ginkoRz6SpSafCVKVNc0ptKTEQYPXfEE8k2b5zFzX1LUgdgLTfrxA0NLfy5vqNpDI1XLh8jWQ8AcYghQNOxCcjLH2INlTV1PL6m28S+IoSDol4gqp0xqIlQ0qPp1XdDRXu7gNY9keKZ78fWaKkX/L19+PeiuigxSLGHSmsJRWWdu1u3yTC92ltoiRhxYojzD4W665NiG+/++qiLiXN4sc8rbDeShFagTH09/eTD9su70ceG8v+l+R+47L7fb2pQFGWFUtHzeD3+rTQ0pol/yuvwGYPoi9ZxL7cS/RT7qrcU74CXOAprlCsypMsT3Q25nGSr7N487QXgr5u+VagHh8X+SaUc1Xhvx6pLCg90Sy+K8nyA3pYQdry2Uhf5XsrC0YV37Dku1b63geRuynC6s1m5bFR9soLVfmIKqRlLPoKr1lOmvN1XNzl33G356NRMpUkS5VrqCyAAeHrQ+x+SLZaGWwZs/S9y9dwtwl90Wfb5xfPXeW6Vno8SSLCLNaDtuU9Nsq+kkgpywquw84lS+h/p1Qq/Ve1jrDYFBIxk620NqCs7CutJXq+cm1SSuKxGAIoFIvlQWNKaYSIiJbufYxK6bJiSynLs5yi1ziOW0HRLSgU8mViqKdZHmufPZpN5Loufohj/zJ6fDdl/zIWP3qvpd+IhevQd2BSyp1VFZDbSgsePec4zhLFM8YwMTnJxNgYwnFoaWmxHDMiurH1EotfuebKz6lcR/S6iOwpGmw2OzvL+Pg4WmtaW1tDZoIny5ovEbGYBP5WBqjG2N7UyHqtxIq1khKvdDK+jLJHYx6FEIyPjyOEoKGh4S58Mov+eOWIyOUS7QyTk5PcvHmT48eP09zczIEDB0gmk5RKJSYnJ2loaLBw5HCUykoTtKNH9HxEoGQnjDiMj49TKpWYn5/n7NmzJJNJtm/fTiKReLIVHcqFtm9lNqaS0HNmZob5hQVLFefeuexKSxhVNB/04trKcY7Dhw/T1tZGU1PTkhhiqX9uwWFSWvaAqKQNFmSmgoDx8XGGh4fp7++nUCiU3aOamhqklFy/fp3z589z6NAhmpubCfygDCNY6TiNMWHDt/3sIAhIJpPEYjH++Mc/Mjk5SVNTE21tbWzbto3q6uqvRNn9bZHHVtkNlAmTstksJ06coKmpiY72tpB7RS7h/YseSgW2S18693eByxVQK4O3b9PXd50tW7bYkY9CIMJxNdFrXGmtai6XY3JykmQmQ3V1DfZrDYV8jvPnzvPZ4c/o67tBPJHib/72b4h5Lp99+hnzs3Mk4nGOHj2K41gwWS6Xs1R8OsT9rOA+RbyUV69e5f3332dudpa6ujrq6usZGh5meGiIffv3s2fPbhzpLh7cUy7fuLJHBffKv1T+T1S8QmuDcGQIxxVoo/H9EseOH6OYL9De2kpMCkqlEnPZHKl0FW7o74KhWChw8vhR+vquIxyPHTt3sWXLliXb/53pzHAdxq5LCsvA1d93nXjMpaomzZ8/eI90upqNGzdy9epVejo7aWtrBWP54P1igeNHP6d74zNs3dFAvphj5PYAly+co7//Bj2d7bS2tfHx4WPcHBzm4LN70YHP5OQ48bjH1OQ4B/YfYGx0mJNfnOLAwQPk8wVKJcWGjRvwXDtMzTZx6JDk1ZDPLRBzHbJzc5w6eZIdu3fyxvff4sOPPkJ6LvFECuXbyR5aa8QTTsXxVTNJD8myL1X2pb8v4k8ktrO/6BfxEgmM0Zw8dYrBoSEOvfxdmpua0SpgYmKcL06fZf+BF6ipqwt9eYdSscD05CRGKa5e7+N63w2am1toW9Nmm6PNnd3KJvQEJSEYzNjmkampiVDxA85fOM/k1By3hwYZuj1Ee2urxc0Im85Keh6FhSzZbI5bwyNcu3iOyZHb1KQTvHroFdZv3Mh8IeD8tX7Gp2eIeR6e65BbWGBudoZ8Lkd1dRWTk5P8+c9/Il/IMTefpbt3PRuf2YSQjsWEaE08FkOrgJHhYUZHRkgnk+zeuZNcPkdNbQ1d3V0k0ynmswsEIQLUQdod4snW9bI85sp+d1lECYLjuszNzvCb3/+Ojc88Q7FU5MiRw7z1ve+zpq2NUqmEFIqF7AKjI6Nkc1mqamoQQlIq+aRSKV7+zstUZdL89k/v8e+/epdsboFABeHWb+6BXlwUFVLkOa5LTW0N69at5dPPfsrQ4CA//MHbtLa1Ws7HQp6B/iEmx8YYGxtlMl/kP37/BxpqMvz122/QtaaVVDKF9FxuDd+mWCjQUFuH53k40iGfz1Mq2qnYsViMtvZ2Ghoa+PW7v2b7rt386Mc7UVqjCgXbxKEVs0HAyPAgx48dI5fL8cLB50kmkpy/eIHamhp7I8U8ioWiVQoqd9dvhzvzoHWUh6TsdzvJYsmzSim8WIxrV69y/qLtwdyzezfd3d2hb5xlYnyUG/03GBkZ5uqVq8wv5GhrayOdTuJIh6pMJiRa8nE9Dy8ew4TNFgiBudsmE0qEkwdDIpEgHouzdetWPC9GdXU1L7zwPPFYHAQUCgXeffddjh89Si6Xp669k6r6Bp599jnWr9+A1DZjUioFXL58hVKhyNreXjzPBpcR97zruiQSCaoyGbZu3cqFSxfY/MwmmpubSSQSXLt6lf/49a8pFHLoQJGMx9i7dw87duygrqaW9/78HrNzc+zYvp14LIZfLFHySxUNypYy8kmXKPnw2Fr2pep891dFZHHpZIrdu/fwr//2P9i9Zzd79+4l5nkII5ienuadd95hbGyEyelZRiemaFvTwU9+8hOqq7tB2R7O2dlZrt/oY+36ddTU1SHCljbHce5YSSUmX0CY67YNH8YYSsUS169dRwCBH7AwP09LUyPFYrFMxNS7di1Ka3bu28/2Pc/SUG9p94SxLMP9N/r56KOP2bRpIxs2bkDopWnFqHA2MzPDwMAAAnuzBr5PTmsGbw9y8cIFEsk4Gzds4IUDB9i1aycAN27c4LPDn7Fp0ya6e3oW+WjCSuwqzcyiPATLbspuijFiSYt8ZagqjKW+K/olgiBAaduHWpWpsv2fjqSpqZm33/4BAwMDnDpzhr3PHWRNRwdNTU3lpohCIc/HH3/ExOQkb//or0mmUiijkSsoOtypCFF6URmNLin6blzni5Mn2f/ss/T19XH61GkwhovnzzMzNcWeZ/fS2d7BRx9/zJq2NWxYt47AL+JIg2MEg4ND/PSn/5Pr16/Tu2EjZ0+foqu1Bde186KiKSCzc7OcPHWKXC7H1m1bOXXqNOs3bqZQKHDx0kVef+MNtm/bSnNTI5l0CoFgbHycn7/zDlevXaWjs5OLFy7S1tGJALyI+Sxq/ljhWJ9keSwtOwBhpsMYg9K2jS7q3ol8SlfY6RbXrl7j5MkT1FRXM3DzJtOzM7S3tOGHPvnu3Xuors4wNDLK1q1baWvvsEUnKRBGcPbsOX77u99R3WBz40NDQ7S2tkJ56K+lo8NYNjADCB36toJw3Ism5npk8zmGhoZoamriOy+/yi9+8Qs+/vhj5uZmqKut5cWXXqSzqwO/UKJ9TTvVVVX4pSJOSFKqhWB0bJxCocCa1lauXrrM4M1b/OCN18oxhgyHAU9OTjEzPc3zzz9PoAJ+9s4v+OCDD+ju7uaFF15gXW8v6UwKo8KZrAJGR0eYn5+noaGBK9euMjI2yssvfxfl+yRicRvUEmJKHsqF/malHIM8YP3k4bgxEemJAEdIlDG4joMOFCb0w7Q2jA6P8OFHH5JKpXnrrbc4fvIEE+MTrGm2ASFG2w57x6WquqqcSgzn1JHL5rhw/gJzs3Pgxvj3X/yCPXv28NZbb5FOp+10DGOQCNss7boYy6REmeM3LBS1d3Rw/uJ5urq6WdPezdjIGJl0mi1btrD/uX30dHeTyaTtRmUM+w7sx40nLdhI65Dd19C7tpd//Kf/jiE8btcjKFqsSm1tLQ0NDSQSSbILC+w/cID5+XmuX7/O/v372blrL9u2bacqtORKKUu7F8YfPT09/OM//lPYI6uIxWKUij6qFFBfV2dhB0ajTMhL+U1f7IckD9qp9M1bdmPHwpiQSFQ6LioIwu58jevFkVKSz85x+sxp1q9fz7adO3A8l02bNtHZYQfjSsYi5UEAACAASURBVGNvFDA0NzXxnZe/Q11DI5Y01LIIpdIp3njjDfY+txccD4SkurqG6lSmzI1ucS6CWKjoxoB0ZPl3z3XxYh6bNm3i5KmTnDlzhmIhwBUxXn3lEL29PbiOUwZsSUcQi8fxYjG0sccoTJhIFYbq6jrq65rww2NGwJHPPsXzPGpraqnKZOjt6eby5cuMjI7iuh47du2gd+166hoabdanWLKskMb2wpqwuFVVVWXxLmCnlGjN54c/R0pJa2sbUf+rst3iS5gln1T5KojWb1zZtTZcPH+OM2fPUvR9hHAQ0sNIh63bt7Nt+06UVvgqYG3vWppbm6lvbCDAUFtba0fIBAGudDDaBo+xeJzW1lZ8ZUKUn4MKFFIYOjo76OruwOASKEulZ7EkBqFBaPCDEjdu3CAeT9De2YVA4EmJQOP7PkoFZBcWqK6uIZtdYMe23fR2raMutJZ2zItBCGNHxJRhCstnYFgFCwKFFMLyrPslqtIZXnrpJWrrahkbH0c6Dulw1+jq7qZtTRuO66GURThiQDi2oRtjZ8ZGGBEZYoZkWCNIJ5N89+WXaayrp1AoIj0X6YR59qd8jOo378ZIyOUWuH1rgEAbHMfDV+DGEqzbsKH8uunpGaamppiemcZIQSka4ag1rpA4SHTgI0VoyaVVZo0MYwADysdzrJVXRmKMKMOEk4kEHR2d1NfX0Xejn//7//y/aG5t5R/+6b/T3NLE/Mwsfdeukl1YwPdL9PX3EYvFqG+so1As0Hetj0BHMNmQmUtYJbS+sQEFIWVkKDKs0NphBUopO3spKKG15siRI9y8eRNfBbS3d2CMYXBwkMGhQQwSIV2Lr/EDPNfBcWxcI1kEnRlh5zdFN8HC7DzxRJLTp0/T3NbGmq52W0FVGucpb+J4CD67oK2tjX379oGQCMfFV4B0aW/vsIxYUjA1OcWlixetpZSCkgqIJWIoP8BBII2wVHUotNEExi5fSInSBscRSKMRRmG0QilJLBbH931u3bpFMpnge9/7PvV1dUxPTTFwc4BsLk8un0cimJ+f59r16yzMzaGUoqSKeMIwNjbO8O0xHGLWddF6cdyLAM0ibl0aWLTvNvMUMQ9I62wjhGFycpLp6Wmam5stV6UjmZ6eYnxi3A5HEMJyt0vXbtshnbbj2J1CBSWIMDICGw8pHQ41k/gln3gqiRdP0LymDeE6S7JgT6s8FDemv3+ATz87DEi0ECht8GJJUuk0bW3tuI7LuvXraGtuIFAK6Urrg0I4CcMlHMgIxs5H0gaUESFYSuK4VtlNYOecFoqKiclJrly+TH19HVu3bKWrsxOBoaOjnV27d1JbV09NdQatFI2Njbz44os2SNUaI0POHB2QTGZwjWu5YaLsqbFU1war5I4TZpfUIpmGAQgbLLQfMDs3y8WLFxgeGWHb9u3se+45MtVV5PMFCsUCyVTKFrWkY10WaTNDRhtirgV0Ga1xJWVWMggp/KREBYpSoYTrejixOJnqKvu8ssxlj7V8qT6F6Odjmo0xQtLYsoZNm7fZRYZleyEE1ZkMMVdglE91dYa6qgwQDtmSAiEgCGedWqyhRAo7RNcQMrrqcCxjEJDPZSnmC5SU4tboCBcvXqKhroEf/eR52te04bkuoFnT2c7//n/8M1K61FRXAQov5tDc2lyGE5R8n/fff5/Gxkae2bgZowXScUNWMmk5JI2NE1AB0jEYEUNriTEqtO+Wqm9qeoa+gUEuXb5CPJ6go6ub+oZ61q1fj+u6nLtwkYuXr/LSyy/R0NBY5o0XUnB78BbFQoGO9rXEwmncFlRpytXeQj6LMoZ4PMEnn30OwuHZfc/hxTyU7+NGccZjXEb9Mrfi8hbD+5Vv3o0Rkq6eHto7u4jHY7b4EyqnHaCrCUL/3BaGokFiEifkelRRvduxu4LSCle6GKPCdKTm1MmTfPzxxxSLRfKlEj0bN7Hv4EF6u7rJpJKgVIgOsVDd+sZGwGDHUi+KxmY8+vr6uHLlCmt711qlcgTFUgnPi6O0Jl8sEvMsQCvwS0yNjhNP15JI1yCFIe5IZmemOHb0KB998ik3bw/StqaTv/27v0MV8xz9/DCTUxPU1dZz7PhxW2twY/aYgwDP87jed43PPvuUndu3EwQ+QoAjBELYCR4LCzkuXTrLjevXiCeTvPr694jFE3xy+DM6e7vp6uxCEYST+O5N9fSo5UutraJf90GyMt/4rR71RKZSKeLxBK5rJ1LH4zblGI1zjApMUkq8kKx/eHiYQAWUSiVyuRxaLaYHlQrKRYapqSlOnT7FlStXmJycpL+/n8aGRjZt2kQ6nUIFqpwxsWtabHxeYcEADA4OApCpyvDJJ5/wxRdfMD09w/ETJ5iamgp3Hnv75HI5vvjiFENDQwAsLMxz9tw53v/gA85fuEBPdzf79+1nemaGgYGbNLc0UywWmZiYZCGbZWRkhLY1bUyMj/OH3/+ekZFRLl26zCcff2JH2/T0hjUBOw7HYDNQc3OznDp1mk8//ZTTp89QKBZZ096OQTAxOVmuBn9bGMaiZMPyBvsvK9+4ZZdS4oXbrwpdgKgBIeq2sYsXuI5EaYVjDMPDI3zwwQfs2Lmbmfks6epantm8nXjczjvVyhaYrl+9xoULFxBC8Pd///fU1NTwr//2U+bm5qz/D6Gif7n1Ri1xo6Oj5Rvy8OHD5PN5tm7byfUbN/jxj39CQ0ODbSIJMSgjIyN4qWpKCq5dvczc9DTdXR38+Md/TVNzC3PZPEMjYwzeHuS5PbuJx+PMzc2SSCQpFos0NDQwNj7OT//tp7zy2qtMTk5RVZXm4MGDJJIJCOsD0nUIfIVWitraWg4dOkRQLJDN50jE4xgcPNdlYX6+3JP6bck5GmN58X3ffyDL/tAgvpX9mZX0E1GHvLW2i6SfQgiuXLnCQjbPfDbP/udfIp6IIfAxGkqlIp99dphjR4+yZfNmvv+979Pa2srg7dsITBl3svjdLEY4f2GdANlsFrCDyTo7O/nlL3/FwO0hDh58gaamJrsjCYP2i5RKPsZoLlw4z+TM57S3tfLqd79LW0sz8XgsjL3yCCFIplJ4ngdCEAQK3y9RLBbxXJfqphqqaqr53e9+T319Hf/0T/9gi0ZKI13Hximh0ruui+u5dHR0UFtXS75kIb3xeAzpumXWAinEtyYTo5Qil83azrEHkG8+QA0VurI5OQI/LW6zlopaaU0s5qBKfrmH8osvvmDDM1tYu26tRQZOT3H79k0unDvP2bNn2bxpEwcO7KetpQ3XdRmfmKBQLFLf0GBHuUuJIyUY/aXs25IpGK6L53msW7eOUqmE7/ts2bqVVCoFwNzcNJ9++AE3rl+l/2Yfk7NZCiXDti1b6O7qIrKojuMwMTFBLpejuamJWMxDCttxZRXXIRazhbLuri7OX7jAzp07aW9vL6Mhx8fGKBQKxByXjjXt1NTUhD5sGKyFwbpwPRwp8YPAQjKUslCIh0m5/A2J0ppc3kItPO/+hzI8FMteGUVHil/pd9nsDLiuGwLGNIlEgs6uLj786GN6166lsbGR6elJPnj/fU6dPMbN/ptkMhn27N1LV1c3xUKRubk5Tp06Ffq5PbYxO/Rx3dB9WnLJV+hniKxm1BPqhNXNZDJBXW0d7e3t5QB7YX6Bk1+c5OLZM8QTMTp61rOms5fe3t7wppa4jkM2l+f48eM4jsP69evDNkLILiwAAs+L4cU8HMchkUiQTKZYu3YtmUwV2mhu377Nu7/6FfNzc1RnqvibH/+E6upqy13vuWWsiJSSQCkC3y/fSFrrsAj1+GZi0BaTtFLr5KJB1ORzOebCOshjqeyVvlWlG7PovpgKdwOKpRKuI5mcnGTw9m0c6TAxPs7Jkyfpv3WbQnaBl156mTdeT5BMpehob6dUKlEsFnjvvfc4deoUb739NulUEj8IiOZImxUutuDOqF6EFjei8Jifn+fEiRMkEgnyxQKjo6NUV1czMDDAubOnaWtr48Bzz3L92hU2bdvFrr37SSXjOOF4+Gw2y7Fjxzlx/DgHnn+JxqZGAqXQSpNIJm2+3tg44ey5c5w/f55EMsGtW7fIF/KknRStra0cOnSIQqGA53i0tLaWFSMfEiAprezxunGkY5vNVZi5iJCCjy0NnrRFw+X9pREnT8TGMDU9zezs7AN/zSNpy1vJwi+fqHHmzBnGxsbo7unhyJHDlALDpi1b2P6dF2lrbrTgsNBF0YHi7Nlz/OxnPyOfz3Pu/Hkm5hb47iuv0NLUhB9hRL7ExS77w65HNrvAuXPnuHbtGt/7/vc5fOQof/7Tn7h16xZjY2O0tTZz6DsvkUnFmZocp6qqirq6WlvB1QESS5z/i3//BTdu3KSxqY18ocCeXTvQxgK5pOtgDAzcvMmnnx2htaWV9Rs3cf78OW7dusW2bVtpbGyksaHBgtW0TaFFWYmLFy7S19fH9MwsX3zxBdt27AZjyjwxjpSP/WiaSuKjypsy0g/f95mbm2N8fMxOQA8TB/crj0TZK7eraJZS+AzxeIzpiQkmJiYwxtDR3s7GZ7aw7+ALrNuwweJDwrx8EATokP0qHo/z8ssv40hJKRwxqZXCaIPnebYSab/inhKxkKXTKfL5HFJK9u3bR3t7B+fOX2Qhu0A8HufQoUO0tTaTSnjkFubY9Mwm6puaCPwAIQwmUAhp8fGbN29m4zNbMMINyZ6CcmU1EU+glOLEyZN0dnSwZ89enFiMhoZ6EvF4OagWQiCkhVagNY50KBaLAKxbt46iH+C4bpmXJpVK4YRDlLUxjzUuxpgwpbrM3Q2CgGJIETgdWvUok/dYph5Xkkq/zHFkmSYul81xe2yUi+fPorXi4MGDPLN5K43NrchYIhy25aONRhpZdoWkEGzfvo3t27ZZmjwp8YUT8q9oXMfFlKPTe58kYwyxWIyenh6GhoZsb2hVFecvnGfLli1s376Tjs5OEokEGIVSAZlMFbt27kI5MRsQC8DRGB3Q3dPDf/vf/huBAeF4IB2uXbqIX/Jpbm4mnUnjug5SCN76wQ9oaGzEAF1dnaRScQKlcEN2gfIatYUqeJ7Hzp072bVjOxrwYgkuXrlGoVCgtrbWNqeYJ4PjMbqWUdFIKRW6p0UWFhaYmpoi8ANiMeurPzHKDlQou4Wozs7OcvH8RYaGbpNJxtm+fQddXd1kqqpRWLxISWkcSQgPsMWoqAMqsnxJ18W37VDhCQxJP42+Y+uLClmVNi8KPuvr6ykWixw+fJjOzk42btjIuvUbyVRXY0zYLOE5GDQq8EPFMraLiKjSaT85mUpSUrqMdx+fGKexscFmVIC1a9eRLxSIeR6OkPgqIB6LWcBBeJfaNKK0YLIK8lPPdS1eSFqw18jIKM0tLTQ1NqGVnUFkBymr8iidSER08HcE6SEcgwjYFv79jot4P1f8HmIW3RagnPmKHjMzMyzML5RviOjn/cojVfZoO5qfn+fy5SvMzs+zc+cuOtvbSCQTZQShNhrtGxzXtY3Q2mYXBKIcxSOshVfaYrw9KSkWiriOi3QEwsgVr83yv2mlKJZKzC8s0NnZxfoN69m8eTOZdIaSr8oDxQTWwiIlRkvbxIFLYMQiDiXsxioUS0jXDdsBobOzk82bNlJVVY3SmjfffJOR0dFyhsFyvNiLKRAYpSscW8p3qBQS6Vi8vMDe7O1r2tj4zCbqa2rsTYiFPygBRhgUwk4PVAbHgDSUG1EcCeggRJ5Ky8ogJBgR9rKK8gIsKC88e6L8T/kVK/1cfs6jZhJttG3mCYxV9FLR7tAI8rkc01NTFIp54nFLNPugyv5IpuVVcpJLKZmbm6NYLIaQgrht1Iiy4hVZFLPEztylidhUrDH8/X68VWMM2WyWbDZLdXU1iUSinLW52+GGZybkR1i2mGj3qLCqi5XNpd9bhjMs+ey/uOKQm8Gqjta2BbJssMPuKCFACYEvJFJI3ACcQBPuTbiOxNEBjvIxGHzPo+CAbyQOLlIvDqU0QuMag4jioGXHt+wM3HEctvfXQp61NmitFi15EIT+u81Q3ezvZ2xiwjbYeB6JRBzXdYnH47z22mt/8exUyiPz2SN3QQhBTU1NmT9chtDeqMWwkrFtubqteHpFxY8HiMmklKRSKZLJJK7rWpoL7jUaciUlr1jMCjfbSlZpSYr2vla8tD8q+mzbm7t404tiibQUKNcjQKONpGQ0nmehwQkM5POIfBG0QSZixKvSKAxCLq6pHPoIwV3v/lAqd+9Km6p1UIaPRFmlfD5fPg9Ranp6eprJqSl0mFePEhmPOUnSUokOJqqkPsgUhW9KKnec6AI9tvnpLyG2+UOT1Ap3Zp6FbAmZzhBramTGMeiYIe6Ak88z23eD07/7kHy+RKqnnT0/eJNUQx2laKcHTFS4iIYsVGaLKs5TdO4WefUXBzJEeKhI4aPnK4dP5PN5RkZGyGazIX/9Un/9scbGVEqlEi294xcL+g/ik31dUknsXzlM4EmScmHGcRBKMXfzJiOffMbw0CRNm7aw5e3vIapcSsYnrgNKkxOc/s1/cvTf3ydfEjTu2sy2/Qeoqq3Ht257GEda90NpjTBLu/wru/6j3ytxUJXPRT8rdSHimI8Qr1NTU2WjWM68PWkBarTQaAuL/v8oFbxSKiu98JhXH+8hldb28vHPOfH//L/4C4bu58ZYv2cXiY3tCGNIFIpc+9OHXPjlb3FnFLFEFV0t7SRiSUJYJwjrrFnltB1TRmlUBexjEcG6dCZWpVIvLxpF19w2utvYcHJykpGREUqlEslksvyaSjbmB9GVR6JdkesihAh9MVm+g6O798t0pVS+5utcmw6LUpXW5IkWYcAvIXPzJObmmLlwhdnrfaSCgIwfsHD5Bpd/82dio9PElaFpzRqefe0Q6dYmSsrYrAwgjEYajTRW2VWF5V6u5JWuy0r48+XPSymJxWLMzMxw48YNcrnckqETlQbxQd2YR3YVl/t4K3Gnw50KvRRA9mAg/i+7rget1D0uUgaICcmGZzaSTMRJKo0eHWfg5Cm8+SxiaILz7/6BmbPXSBYMydpadn3/EG07nkHFXXzX4KND426QSuNh066Vin63poqVzl/ljRH1D9jMX47+/n5mZmaWGL7I8FTuCA8ij1TZ4e5WOVL+xQO1pfcIJhBBcJffNF/Hup5El2W5lI8jRHrWtLdT390JRuMWigyd/IL5S1e5/elxLv3uQ9x5H5w4zVs2sPG1F1HVCbLGR3mObTLHIDE4WiOUsUjFFaw6LL2mla7H0v6FpaCvYrHIwMAA4+PjK1ruysD0Qa/RY70/R9F51Fq2kM2Sy+WWpKeAJzKAfJhihMBpqGfNzm2YuIeHYubadS7/x2+58LN30UOTKCVw29ew4dDLZHraKMYEJU+io/bDsABl6w0KZQKLN1qmtCsp/N3cm+j3IAiYmJiwbZhhb7Lrukss+0p++/3KIx9GcC+JTobv+5w+fZpLly7h+z7r1q1j165dpNPpcspqVe4uBoNOxGnethW39n1Efgq5MM+lP75HYTpPWjsU0gmaX36erleeJy/BFwZcFwy4RuBEPDmOpS1UWoUFoS/v5lX66EAZ7DU9Pc3AwAALCwtLduvl2ZdvtWWPAsVischY2KkzPDzMO++8Q39/f/kErCr7vcUgKLouNb3rqFrThkbjBQHB6ASpQokgXyTV3cn6H72J09oIMdfS6wUKzwhcA462xSXlQCAUgVocPnyvILW8hhX+rpRifn6ewcFBZmZmAMq9ydHvKz0e/2xMhOm4D4n8vHgsxoED+/mv/+XveO21V8nn80xNTS3ZEp92ibjYRXieo9MdIVkC6ZJuW0NdRzs4As8oEkrhakO8rppn3nyFur07yLoSIwWOlBY3oy3PvP0ggRGCAEvMtJJSryQruTlaaxYWFhgaGmJ0dLQ84zay2JHrUmnJlz/uVx6CspuwC18hsPwlRukyrkaHIxAtXWFlyVzjCCzlnTA01NVSU2XhsJ7nlRkLHjQN9a0SI5Ba4GqBq62CSinRUqKFRBuBbwROJk3r+l5MKoY2BulDXnpU79nBuldfJBaP4+CgNQgjcBAIbQDbMaIwoCTKX4o//0uyUtamVCoxPj7O2NiYnZVVodiRa1rpvqxk3e9XvvmGa22jeDfMoqhA4TheGf9iO5QqqnMVorUlNoo5lgw0Xypy4dw5ampq6OjoKCv8qlhUohMCYUyo6EEQIBBIY5Da7pR1jfVIz0UrTczE0V4cr7udZM+akC9SoKWdUhJeGYsslZYoVmgDJUNEIVIpdwtUK331yE8fHR3l9u3b5PN5YrFYORCNHrC06LSS4t+vfOOWPcKbL54IgeM6S06G7wcrBjrl12Ax7JcvX+bixYs899xztLW1AYvYi6ddyp4GoIUJGcTsnFZPSrxSCTU5w42jJyCbx9Hgao3nK2aHR8jOz1JyNDrUiAh+CxWoYmFJZJX68vn0COwVWfQgCJicnOT27dvMz8+v6J6sFIw+GXn2cJFRCtF1XXzft00F4bgZN6yi3rE4aQd/YQzXr/fxy1/+kpnZGRLJBDdv3iSXy+GsujGRO42SGiWtsms0jhRIFeAGPslSib733uf6p0dw8kU8KXGkIFYsMXPpGsMXLoEnCVYYCm7CiilEkAAVQmTu7rNHOfXIkkeKPjExQX9/P3Nzc+UUY1Q9X+mxPCiN/vYg4+kfCv0dUOFnVTbVGoJAobXCmDvdEXsSLOHPqVOnuHLlMvl8nt/+5rf8/ve/J5vNhoHSqitjLToEgjA3bixfvQ5IYli4eo1TP/8VcnoOD0lBKEquISkgNjbN8Imz6Hz+nudy0ee2fUwrZVgqXRalVBm6bYxhbm6OoaEhZmdny1mXylz6cgVfKUj9Km7MQ6HSGB4e5tbAQKjgAhFa9LaOTtasaaNYCmwfplzErNtOoHAkTCzG/v376entAeGgjCCVSlFVVRVahsWGk6dShLZujLEKr0MueM8oEjio6RnO//Z3LFy+QqbkE8Rc8qk4JV9Tu6BI5wtMHj9Ltu8WmY1rYZkiVRbvVNjqt9JeGsFzlyu7EIKFhQVGRkaYnp6+AwdVqcj3Ckofb9SjEGilOHvmDL/5zW9sqV/ZyZyu5/H6G2/S1NSEGw7pLRbzYHTYGWQHfSllJ+HV1tbQ0tJEKTCWwloby9ibz5PJZB5oW/v2iI2FyoqOxjGahAGvUOD68ZPc+Pgwsel5NHGKmRRNz25memSU7IXbpBdg/uINcueu09DdTTERTTNcmicvF4TE0saNyrx5JZw3+n+hUGBkZITx8XF83y+D/1ZKNd5L4b8K4hG+aWUPo/h169fz9ttvI8NJeVrb4bxr168HQEiH06dPcObMabQKwgkT4awiY9u2DLZXEumgzSIstL6+ntdff53GxsanNDNT0ZYnKCfaHW2I+4rCxBQXP/yI3M1BGt04s8Ih3tvF3v/6N1y/cIbLg/9Odd4nPpNl7Ng51rywD9HWYD+5wjWRUlIqlcqNNpEbqrVZouDR70rZVrsoxTg+Pk6pVCqzrC13S+5m6StdnK+q8N+8G2MMuWyW0dFR/JKPChUdBM2trUhprX9DQwPdXd1oHSDl4rAWS4Vh2X2NMUg3RslXZcuTyVRZyoyn2o8Jc+FR07PRxDGIfIGh4ycY+OQwiXyJgtIU6uvo3X+A9oMHkB319H1ylNx0P07eZ+D4GTpuDtLQ3ogfLDITVLokUfpQaztLVi9T8srOJEvLPcHIyAiFQqFMK7jccv+loBRWRsnerzyEyRuU/TUgnCoBQkpy2RxaWyvQ09NLV1cnWlkfT2IDTzv1MSweSUGgQGOzOpXB79Op7FbJZWjZVfgnVwu8AAoT0/R9chg5OkHCCHLxGLGeXtY+/yJBKkPt+vV0PL+b6xcGqEUyOTrGrRv91Dy3zRqcCkWLlH2lSmjkrkQpxkjRp6enmZiYwPd9EolEuQ2zMqOy3LJX/lzJ2lf+/X7loRSVduzYwYYNG+yBuh6FQhHPixFPpSxU1/PsT8fFhCg7YTR2rKNNGeXzOaZnphmbmKK6uo72jo6n3E+vEBOBAuyQNUdrpFLcPnWaW8dOUlPSaKVYqKli8/PP075tN1ImceKw7sV99L13hImL47g1KRLpdOgOLbWc5eCUyH+3xqhS2YMgKJMbzczMMD5up3t7nlfGuyy36isBv5ZnYFZyYx5Ly+5I261fVV1t6ZOlgxAOCCgFAVpZd0U6slwxNSY0/wiMVkjX5UZ/P++//x7X+m5y8PkXaW1rw/O8cv7+aZWKFufybxJBbmqGMx99Sm5knJqiz4IDsfY2Nh58HjdZjQ4MSkLjhrX0fncfx0f+yKYtG1i39Rkc186VNVC2xr7vly271pbtrNKaL1f0qampsusipSyD+iqVu9Jyr+TW3Ku49FgqO/9/e+fbG8dVhfHfuTOzibP2Jm2oW+GakjQpqisCUl1VAl5VFSDaT8DX4A3iy/EKCSlthRCEV6DQWCQksZ3Y3p3ZnZl7eHHvnb07md14RQVudo80Wmt2NnJmH585f57zHOM1xKsSEKhrVGvSLPVUAUcXFevLjl4uweIGNoSEsrYMtgbcvHGTv//jn1hrG5mLVQY6BD6R8Wsp/QoaVe7/5W/c//LPXJ04PlLVv8TuRx+y/YNbVEb9uskevdffYO/TT3hw/5B3f/Ix/e3r5H5DytRr182MKLjGUhfYi6Lg9PSUo6OjJhkNyW3MZ+kaxJgXt3eVJi8s2F18nhIETMSYJrEBp8ueGMFYt6VZNUGTFDyloJpMMGrZ+e4OvSTh7t2v6PWmylBdgkOrYi5OdwpI/VoRramymro44+CrP3Hl4JBBKTzrCdX7t9j7/DOy6wMqU1N6yTxrN7n6/of86jfvsLV1jfJS4vKkkC+ppchzqqpErQO+7Qhbwt6r58+fU5Zl49FhPq+lHbOHow3seZWaZe1/M7whQSnIt4wkLfYU+gAABVpJREFU0g8MokaqiCpfP7jP14+eQJoxuDbg+7u7bGQZBiFLspk2tPv8int2cbTbQAQrUWpbMj45JSvBqpBvbvC9jz/irQ8+oBallAl1Jqgx1Jqhl3oMbmwhqlS2RnSq41JVNZPJmGoyjngujssUwB7ER4fDIVVVecnv2WHprpi8HbrE783z8jHgl7ULMqmkmMRQFWPu3bvH7//wR0pVbt66zbXPP2PzzTfBr1IPXAugedSubjUGQkNJxRUfrYAmCeXlHqONS1STCYObN7jzs5/Su7JBYSvXaVXXBPKrlKlVMQ3t2iLGPTXH4zHj8ZjSAzsOW4Jk3dnZGaPRaIaT3hW2xCBve+y4CjOvNBl/7lsMdldrT9OUH965w7Xtt9A0o9/vszXYQsR9AXlRYIyjCodkaeXH8vxDU706ZmUETTOy71zn6HLKxuWM2/v7bL93m7KuvMa7f6IGjlKEG6fDaBGEsirJ87xpJoUjJKtFUVAUBePxuAF6mqZNcy8kt/MqLfMS0K4GUgz8cM2ydjHAroAkiChvv73L9s4uVgSTJJSTCWVVkZ+ccveLLzk4OGBiLXt7e+zt7TU3dFVN1AHdKXYJtRrSK1e4sb/Pg/2/crW/xXuffkL22mtUuGtrq0iauBXvOltpdGVfaWrluV/YFUKW0BUty+kfgqo2EnVxPB2+m7ZH74rZ2x5+XlLafmosYxcD7D6er2tHDZDEYHzZMRFxe5GM4fXrb/DzX/wSSUzjQeKbuYrmNNa1YT1aMZRGeOfHP+LXv/stWa+H2R6QGwNJ6r22X8NpIvK6esqL++shiI2GvaNh3UtYEBAAHzeJYiDHudU8Lz6v7Divu9rVWV3uXnW4xXDGCdd885LVL1iQacB/Yd77qOC23FlLKoKtnUb7pC7XSSrRjKlAVrvXPAXF0i+FrYmgCsPUUieQiN8kboQa1/Z3k2SQqHgZaacFPxwOefr0aZN0BnCHykvMQwohRTt5nNX9eVGY9DwMxxjogUAWxjJ3dnaWul8Xw7MTz5/6TmASqL5+JMy6m2pVZ6gCa6MZsAbngCwJY1FM4kKbSeJU2G2g5oZWv2eYom7hgxEDxlAUOcfHxwz9gt2wpynE6sBM2BLbecKPrjClnXwuqrW/AmGM+0EaFp9tzqACkkwFCtZAnzEfBaIIiZUmCB/7HM76GTsbFAjC/bZue4fgVHlN6jYVnp6ecnJy0sTlRVHMJJ1dzZ3wGgOxHXK8DOzh319UqXkFSo+RZ2q9RsHkskocr7yFOVH1XHZRIfGAtqJYM5XXaBxFKL6oo3KIp2YEduPZ2QnHx8fked6APeRFMQCb3yEC+6IOKfCCl14E9nllyHZjahm7MGD3AQvRgpQXTBe8t9oWqL2usWTx43kJDtQWrHGH4jy8wR1uu7gD1Gg04vDwiGfPnjV1cxE3KdYF4Hmgh9myY3zteUKcRWXHb38YE1lgZYsGX2Sa82tbbIJfCIZixTagThVqf8Rrb+Ikc+hnDg6fPmlWvoSV9jFjEZipncfn2yAN73W9P++6ed68q0qzrF0gsDe1hch3hwc1OLivcPNooUXjcxKekdO7FWvytP2hCIzyEQ//9ZBHjx5SlyVp5hZ0xaBz107B3u6Qtn9ue/3zHHFs/7Lj/+7ZF8lPv/SzLd8dlnKJhCU+7mxXGHPeysy5fo//5v+wROL8TZZLp1vsXPjiYef6E+JDGHFiVWKnLsSqZVwUPP73Y548foRaS39zkyxLG0DN4yJ1Abx9dF3f5c27wB4nqeFcO1Fd+j511dnXtrZX0dZxwdpWxtZgX9vK2Brsa1sZW4N9bStja7CvbWXsP1TjKpCp3b8GAAAAAElFTkSuQmCC)
Hint:
The expansions of certain identities are:
![open parentheses straight x squared minus straight a squared close parentheses equals left parenthesis straight x minus straight a right parenthesis left parenthesis straight x plus straight a right parenthesis](data:image/png;base64,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)
![straight x squared plus left parenthesis straight a plus straight b right parenthesis straight x plus ab equals left parenthesis straight x plus straight a right parenthesis left parenthesis straight x plus straight b right parenthesis](data:image/png;base64,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)
We are asked to describe the error made by the student and simplify the expression.
The correct answer is: The error made by the student is that he/she cut out the value x from the term which is not possible
Step 1 of 2:
The given expression is![fraction numerator straight x plus 2 over denominator straight x minus 2 end fraction cross times fraction numerator straight x squared minus 4 over denominator straight x squared plus straight x minus 2 end fraction](data:image/png;base64,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)
Simplify the expression using identities,
![fraction numerator straight x plus 2 over denominator straight x minus 2 end fraction cross times fraction numerator straight x squared minus 4 over denominator straight x squared plus straight x minus 2 end fraction equals fraction numerator straight x plus 2 over denominator straight x minus 2 end fraction cross times fraction numerator straight x squared minus 2 squared over denominator straight x squared plus 2 straight x minus straight x minus 2 end fraction](data:image/png;base64,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)
![equals fraction numerator straight x plus 2 over denominator straight x minus 2 end fraction cross times fraction numerator left parenthesis straight x plus 2 right parenthesis left parenthesis straight x minus 2 right parenthesis over denominator straight x left parenthesis straight x plus 2 right parenthesis minus 1 left parenthesis straight x plus 2 right parenthesis end fraction](data:image/png;base64,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)
![equals fraction numerator straight x plus 2 over denominator straight x minus 2 end fraction cross times fraction numerator left parenthesis straight x plus 2 right parenthesis left parenthesis straight x minus 2 right parenthesis over denominator left parenthesis straight x minus 1 right parenthesis left parenthesis straight x plus 2 right parenthesis end fraction](data:image/png;base64,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)
![equals fraction numerator straight x plus 2 over denominator straight x minus 1 end fraction](data:image/png;base64,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)
Step 2 of 2:
The error made by the student is that he/she cut out the value x from the term which is not possible. To cut off, the values has to be common for every single term in the expression which is not the case here.
To cut off a value from an expression, the value should be common for each and every term in the expression.
Related Questions to study
The LCM of the polynomials
is.
The LCM of the polynomials
is.
Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6).
The slope intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. We can draw the graph of a linear equation on the x-y coordinate plane using this form of a linear equation.
Steps for determining a line's equation from two points:
Step 1: The slope formula used to calculate the slope.
Step 2: To determine the y-intercept, use the slope and one of the points (b).
Step 3: Once you know the values for m and b, we can plug them into the slope-intercept form of a line, i.e., (y = mx + b), to obtain the line's equation.
Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6).
The slope intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. We can draw the graph of a linear equation on the x-y coordinate plane using this form of a linear equation.
Steps for determining a line's equation from two points:
Step 1: The slope formula used to calculate the slope.
Step 2: To determine the y-intercept, use the slope and one of the points (b).
Step 3: Once you know the values for m and b, we can plug them into the slope-intercept form of a line, i.e., (y = mx + b), to obtain the line's equation.