Maths-
General
Easy
Question
Factor the given expression completely.
![2 x cubed plus 32 x squared plus 128 x](data:image/png;base64,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)
Hint:
using the formula
factorize the given expression
The correct answer is: 2x(x+8)2 is the factorized form of the given expression.
Ans:-
is the factorized form of the given expression.
Given, ![2 x cubed plus 32 x squared plus 128 x](data:image/png;base64,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)
Taking common factor 2x then we get ![2 x open parentheses x squared plus 16 x plus 64 close parentheses](data:image/png;base64,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)
Write ![16 x text as end text 2 left parenthesis x right parenthesis 8 text and end text 64 text as end text left parenthesis 8 right parenthesis squared text and we get end text 2 x open square brackets left parenthesis x right parenthesis squared plus 2 left parenthesis x right parenthesis 8 plus 8 squared close square brackets](data:image/png;base64,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)
Applying ![a squared plus 2 a b plus b squared equals left parenthesis a plus b right parenthesis squared](data:image/png;base64,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)
Here a = x ; b = 8
We get , ![2 x cubed plus 32 x squared plus 128 x equals 2 x left parenthesis x plus 8 right parenthesis squared](data:image/png;base64,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)
∴
is the factorized form of the given expression.
Related Questions to study
Maths-
What is the side length of the square shown below? The area of the square is given.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJQAAACICAYAAAABKMI0AAAWwUlEQVR4nO2de5Rd1XnYf9/e+5x777w0eiONkNBbmMcSCJuX8QNwbIxxcKipi+tFYq+V1nXdum1WiV3i4Kw+jOtVDIvgQNxCUuPYXaZp4+Bl2cHYmNjCAmRjzEtCoLc0EjMazevec/beX/84MwInZA1onUok2j8tzYxm7p05c87vfvvb3946n6iqkkjUhDnRB5D4h0USKlErSahErSShErWShErUShIqUStJqEStuBPxQ1WVPXv20Ol0SGWwNxbWWhYtWkSz2Tym58vxLmyqKp1Oh6uuuoqJiQmcOyFOJ14FVWVsbIw77riDCy64gBgjxry+QeyEXM1Op0O73ebjH/84ixYtIsZ4Ig4j8QpEBO89X/jCFxgZGTn6udfLCRHKGEOe5/T19TFnzhxCCCfiMBKvQEQoy5Jms4m19pi/z3EXSkQwxuC9J8Z49G/ixCIiqCre+1/53OvlhM7yjuWAE29sUtkgUStJqEStJKEStZKEStRKEipRK0moRK0koRK1koRK1EoSKlErSahErSShErWShErUShIqUStJqEStJKEStZKEStRKEipRK0moRK0koRK1koRK1EoSKlErSahErSShErWShErUShIqUStJqEStJKEStZKEStRKEipRK0moRK0koRK1koRK1EoSKlErSahErbyme2zq3/po+r28/Fb/xu0N090OT0pmFCqoTrkSESKgKAEFVC0gWASjgqhAFBRBHEmqk5AZhTIaIEZAQA2IQcWhCtZXsnUyiEZoBSEITFroAo795sSJv6/MPOSJUkUlQxRBRQABA6WJZEHJoyECEiFaiBKRlJ6dlMwolKgFtSARoQCN2BiIIaDG4l2GeEMWHIiQ2YjVqWw/DXknHTMKNSGGEmhpJO90OPTYFg7+4IeUew/Q6pnHnKsuI7twPUXWRZc6jFKNjiSfTkZmHJdyhVZUXFRCUfLYpk0c7hQsWLuG8YM7+MVnP48+9BjeRjoS0AAlf3vSlzg5mDFCOa1yqODA9/bw1n/5cVrGYawy9/DTbLv+PzL2je8x75ILiM4hEQypZdnJysyZs4IiBLFEk+Ga3UTXxNsG0jsHXTGfobFBGu2IGEt0gsVPlRgSJxszCqVGiKaa2eUKjTLgQgcnATdc0t59hHz2fDTPKIBowCBIyqBOSmYc8kpTVQ4yD0gkSAlDwxz62VMc/NEm9h6Z5KJ/fjkht3QFMBEK58hJSfnJyIwRKky9kVIoRBjLhMk9+/n5v7uZYnCMi//gRnrecSGFidjgkchUDSrpdDIyo1AWxWoEBY+hxKLiMGVk3T+9htkXn48xXahCO++gNpCXUtVDEycdMwqVqWIENAcnhi5vkLxB/sG3Uy6dSxnAeqEVwGrEWyWmNZeTlpmXXhSiVMm2aKQVIsEJAwvnkhWKRAUrGDXkmhGMIdhqwEuD3snHa5jlAQI2gppIzDzF4D4e/9NvMLp9L84ImIA6g5omBkemSaaTldewlldFJlSIahgzjubZ67j09pvpW74OfKi0VEgdXxMzChVFEQGj4NRQ4oiz5jL3/LkQbLX/SbQSauo5KilCnazMLBSVTUYhi2DFEcUSAGuqbSxHx820InzSM2MOZbTajamiQMRExUUQqs10f3MRWFO54KRmxghlI4AhmliVwYEghhLBYLBUOzNlOjqlrSsnNa9hx2alhhEztVuzWqvLqKQx/GoynsoFJzczC3V0UHx5wVd4lbEyWZQg/b+8RM0koRK1koRK1EoSKlErSahErSShErWShErUShIqUStJqEStJKEStZKEStRKEipRK0moRK0koRK1koRK1EoSKlErSahErSShErWShErUShIqUStJqEStJKEStZKEStRKEipRK0moRK0koRK1koRK1EoSKlErSahErSShErWShErUShIqUStJqEStJKEStXLChJJ0l/w3PHoMt3Se+R6b/x9QVUQEEcFae0wHnqgXYwwxRowxR6/H9HV6PRx3oVSVGCNFUTA0NESj0SDG1E72RCMihBCYnJw8KtSxjCLHXagQAtZaZs+ezT333EOe5ylCvYEoy5L+/n7g2CKU6HG+mtMRamhoiLIsUy71BkNEmD17NnmeH9O1Oe5CJf5hk8oGiVpJQiVqJQmVqJUkVKJWjn9hU5nqvVe1RFOqXnyCEqj+namAKirT3UGleiIgKiiv1jVUqxZrKgRRploloyIoisZYNYyMEaKCzYhTrdisvvK76FR3rernyHSRT6Y/FqJUTzRUDb5f/nzEKihm6vEcPfLp9ypgVF/+HbT6yvTHwnQPQp362it7Er58oK/82itnVUbj1COn+/ZW53T6fEuEaPRoIyiOnicgVp3Fpr/nsXQWO/5CBYgmEown8wavlsJFmtqmsIZAhpusfpGiESmtoxUspfU0AhAsIRNKwOnUyRQFPMYLLmS0c3B4cjUEY4go0GF45062P/Rj5NAIq998AV3nv5lJ4+j1YAQwoeoLqAZRSxAlCx5MpBRLiB2cGILkZGpRoC2BPCiiltGsQ5NAI+YUNseIYmIEBdeBmAvBQl4GCqsU1tDjhUhgMhOaKjhvKTMFCeTRQDQEJ1N6B0pRLIILFlGhtFBIRETxKD1MYHEU2gUoLhaUkuERGlHIfKRoBFwAL4JTgwSlkwkNL1gjqAheFAeIeYNXyl+JyHTX9Yi0J/E/f4YwGmHDWYSeHqKtTppEJcciYSoyqOAA65VowATwRhhzQo9AQwWMIWJwZXVConUM7dpPf28/cWicLXd9hfOXDdAaWIpIJBqPGkUwhOm+gDoV4cQgakAyNExid+1gYut2vEI+sBS7dBXqLJlTiJOEHXsot++llHG6lg3QXLQSbxuUCLkI0QFiiUjVAVXNy+ELJQoYbBX9TBUBo6keZ1CsgogStIqjDQ0Y7ykl0N77LGODY/StPZ9GVxNTKkY8ZmI/Ey/sJhwcxTZystWr0QULoQhoBioR0Q5HntuJn1D6V63D9Oav+5qeUKGQqkm2lYgfHOSZT34a81LBqntvoXXRhYgaMhQhENXibfU6nR5mVASkGigz78it0nGRDCErLcFA6SAaQaNh5ZnnYHOD7tnJoUcexb80RNfiAdQq3kREq1esiiASsNHgjTs6TLU6luGfPMGWO26lPLwbd7hN72SLVf/6X9F//T+mC8PB723m6Tu+SnbgII3Dg0hXk6U3/Bt6r7mKtstQIpkx5KXFoZS5EDC0SsUGCFkkAEYtwWglUBDi1FCaVwaiUkV61ZIsBmS8w/j93+e5P7qNCck577Y7kbNWUmYWOTzK9v92G9s2b6E5qTQHR5nz5vNY/p/+A27+YkJs48ZG2fvnf8GOW+6mccpKzr7rVrL+uX8PhjygGtWFCKhGct9h/08ewfbk5C7j4IMPsfLcc5HQot0MWFOCOKJRlEAkYjB4ZwgacJmQl0JXRymKERAh5j14E6pX8UTEqhK6MiRT9rywEzdwKq1TFtOOgrVCICOLBkqIuceU4xT7J2H+XKSREwnEfJKx9jhLrv5HLLhoLXZimN2f+xLDd9/NrEsvwSyfS6fwLP3QB5i9YTWN0WH2fu429tx1L+suupjGwnm49hi2u4FiMUVAJgtUDDSaR3MhQSGCSiD4SeL+MeLcPrTZql5NtjqDUabywdKz5Vv3s+9bf8EZpy1g6PmXgIC30EGQtqexZCVv/vX30bWwn/D9h3n+c3/MyLe/T/bb1+Hbnl/c9jXKn/yAUwdmMxomQOPLbX9fB8d/ljeVLU/lvVgiZnSMPQ/9mMbb3sKsay9n6K8fIezeXwWfENBOGzs6Sj46QmPsMK3DI+QjIzDRxmgAUYoMQq7s3riRp37/v9I+tBtjS+SJZ/npZ26mvfV5xAbGf7mNHRs3sfKq92PmzUfFoCoIZmp4FcRE4tB+Hr31y0zs3IcVQAId02He5Rey5poP0X/KOfSe/hZa79rA5OQgfngYFBZddgnLPng13avPpnXexfS962Lk8BHc4UDcPshjN3yegw8/TJl1KMMQT3zpLvbdt5HRTBltCDZAHgUjYDVQDO7j8T+8i8kdO8FUk4apU4eIqcQKSv/AAG/57CeZc+2v0c4yiFWO2YiRrv65LPnYR5l/zjvpWXIGPZduoHdgFrLrAOI9IrDo9LM57/OfwV61gb3dngi/mu2/Ro5/hHpFJ3XB4AyMv7iD4rkXedNHPkrWB3vv/TbjTz5J/5XLyRR+fu83GX3kF+RWyUMg84YjZMx7x9s5/drLiS1LiDBpPQtWzWP/rZvY97X5rPrY1Wz96v8iOzREz0Av5XPbeeHu+1h9znrmv2k1PnhyLFY8beOJxmKzBkJEYxu77UXyyRJjqqNt+CZqG3RMIMZAKxZM7Bmh0zMX2z+XaByh1U0hFhsjtCeY2LuPYl4/0t9HV2+Dlil59vY/5uIVqzn4+Bb2P/xD1nzmIiwRMCBSzcYsGJRmWZBv24mMj2NEwApRPCbaSn4cmjVZfsFF0CoYfWEXXZ0WxldSdQwYWzUcNx40F8qxMfZ1jtC9bDFWHTEzLLzycrQxiv7kr2gV9ugL/vVy/LevUIV0E4FgMKbgyKOP0ZXldC9ZQWh48iULGHz4IXrfdSlWGpyyajU9zSbGRWwM2GBphJy+NaehxqEILnoAzBlnsfIjH+DFr/05zc4Q+7Zu5cLf+RRx/myeuPubDP7iaXb1CMWB7Zz3nitYsmotAY9oAVGZ3LMbjhzC7nqOUw4dgCd/SRk8fhY0ly4lOugYT3RjdLZs5vBDj9P/nithYCFeDZn3iCso7ATh0c2Mb9zM0g9/kHJhN8451v6Lj/DUJ25g+LY7OfDsi6x93zvp27AOLYToYjVBiYH29l1kYy+hu59n4cF95L98Ct/I8F2zaS5dhLdKMIJRhxiLxmomGjNB8KgTCguTeGgIWSgoXaTZHmXwvr9CWi3mvG0DMRcKDFbARkOjyOmbdNUEKAKiLwcArUZclaqR+av5dvyFEjBEBIgitIf2c+CBjcw59wxkdhPnI/3vWM+++77D8hf2YFesYeCSt1aH6gLggQi+gVdDJ0KGx7tJrG+hcSGzP/B+Og/9JUNf/DIrPvUZutdfwERRsuyKd3HKOedQAsFBX38fhY2UOLIIcXyEH/yPOxn+8aMs74zQ98I+tt7+JTrNHLfhDN7xe5/G9s7BkZHtO8QTt/0JOncxqz/yW0jT4gpQcYidoHlgJ7+85b/TXLaGWdddS7thyUolW7OOFde+l0Of/Ry96y9jyTXX0Gn0kgVDaQOm8PjOBD+8607C5k00OMyS519i5x2H2DlrLl1nvoUrbryBst/giXRhsSqotTgsTgIZBaIZmYf+KKg6EEuwo+z99kae/t+bOPeGG2isWo4GJVOLGMikym2DcURX5SVeIE7NLK0KKlSThr/j+h53oSRAMBBMAFOgz2xl8mfb0YOOsd+5CfElbtczzNu6i/bPn0TftJot936d+NjjdBHJQySoZdhlzH3bhax593sRl1PaJsEFMJNIMYwda9Btu+kaPEhkEmdyFqxbg7xp7dEqnqqh4wVnDRaQRjcXXn895dXXYAZ38uIXv8LZv/UJ3LoBQm83tpkRjYcj+9l6x+2MH8hZf+NNZAvnUWiBsYAt0OFDPPdf7iWM9LDsP/8uumAhrQkIecTLCO2xYdp9C8nGJ9GREfzihbgIuYfgHN52c+4/+22y666BPc+z5/Y/Y8VvfohV687Edc+GngynkSwqVgSfCRNG6MITY4cjTY/PSzITsRqJAlBQPPgDtn/5Tzj9wx9l3ns/QIcSpwGnGR4FUarKTMQWgahQGAgIDQEbqEaW6arxq3DchfIGAharHuNHGHrwp7QWLGXxB3+D9hwDIdLdXs2wKLu+9yCr3ncp/bN6iANz6IrQKMFIA5tlNGf1YEXpIKAZjjGQg+z6xv9hWHtZ+/uf4tmv3U/zgR/R8+uXEr1FPRzOoQtDFh0ZBjOd2GVN+petAJtT7J5Fp2chs1eeQXbuCkCJ6jEjB9l36y2MPvo4Z994M90XLid22mSlEvMCe2gvW794Bwe2v8AFX/wDmqcPQMcTcWQmcOSRzTyz8Yec9W9/lx3f3ci2P/0zVv/evyc0u8g9eGOxxjF/5WqMLIOuPp7veZDm6nX0rV8PPlBQAGDEVkMkkQaCoySidDLFSMSKUGYg6pl48AG23HIby654J8t+8xpogLGWKIEofiqHK4miBFdgGMdEJTNgRTDTu5xmKJ8f/wglEesNmcko9u1l218/wuJ3v4eFH/sQZBnV0Y5TKjx7+/2ctu1F1l75TrjysqrKpwaCZYFmBCtECQiRPBicEY5seoLd//dhVn/ik7SuWk/Pjj1svf1/cvaGs8gWL0ICWFE84Ixhqq4KYgjGVfG89JQNh1m5hNDKEIoqobUNdnz1q4zffjdLLriUfZsewD/2AHY0o/+tb2fOJat5+p6vE77yTc5498Xs/e5fUm78DoRu5lx2KXMGetl129eZt+F85l33T9DFs9hy853Mffvj9F1xEU6FrCqroRLwLmCyHLP8NHxvNzGUiCrWCR5LB8EFT154hp96loPbniT/6c/o3zlK+77vUDy3gr5L11McPMC2Gz/NKcM5rbNg2z1/RCgjZskKlr73MlxfxuAjj5Fv3w4/eops134O3n8/um49C887j6y3US2XiRBnGPLsTTfddNNxMak6T5QUEAWrGZ19+xjddYCl7/8N4qkL0QCmELCOrDdnaM8w3evW0r10EUpGaR2FqZJQ4wUThGAVG6em0BLY88BmmvMGWHzd1Uz29dG3eCEvbd1JY2Ax3StORQ00QkDEYKSaIAjT64ZCaSOKUDYCi886HTswQJFFjCgRy/CWzRShoDTdjO3aQ2fn87RfPEh+2hpmnX4aQ489ifUlnsj4zsOM7D7I8KFBZq9YgotwaPsBVlz/YbKlp9KzuJ/JwTFGJiMLzz8brGJiVcIIJtC2irQazD/rTHTRXMRZohUcBrAELIFI7gM7N23mhe9uJB+coHvWKQwdeomhw4eYe87phIlxxp56gl63mM7+CYZe2sro/hfwE5YF68/FtRo8+a1vM/zw4zTGlKx/HnsHDzIUYdEZZ2K78mq91cjRpNz+HUn5cd6xqUQmwGeMm5yWHsYEpTD9eC3IXYkN3dX6lzmE71gw/VgsZEppKymzCCYESqMEBy4oaqpZiR0LtBuCZAajjrzsEOIEwTTQRg+ZRJzvEF1VgxdRUAUVRAxtPLZj6dhxWlYpZBZWO2RBUTWIN0SJGAKmBEzEi0cxTDQM3e0qdkw0FFs2aU46Ygu885jSIKYJzhKlIMgkWSfHdBy0hKKpBAwN7zBR6VglGKURDW0N5AHaOTSx5N4QFApTYrSDnTwCzmF8D6V1mFiiIhSNBi1fvZRDCaqBzExgbEZpevA2w+LROI4LEQm2mjVKQL0h5g18bhAj5FqVNFSoShgnXihQCoiGtjhyKauLGXKsejTzqOYYDzGbpIPDhJw8grhwdAUfjSBKKcorJ7BGLV4MHZSmgg0CMdDOSwRX/dEI+Kp+AyBxaleBVDMcBFMKwZaIUSI5NoapMkeHmDWJxqDiMVRrjR0pMQRUM7IgWFUmMkHU0CogumoSIlPZbDUl6KCiqGY4repW3ka8CJlabKhmV8FWibAq2AhFDhZwvvqdSwLReOxUzqQho21lKieCiKURqsd6q5QUtKIgQVDrEK1WLIINU+mRQDTVDgyJ+KmZnkHItFrfnKqqvur1TXvKE7WSNtglaiUJlaiVJFSiVpJQiVpJQiVq5f8BpEUJ2np8FiYAAAAASUVORK5CYII=)
What is the side length of the square shown below? The area of the square is given.
![](data:image/png;base64,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)
Maths-General
Maths-
The area of the slant surface of a cone is 3080 sq. m. If the radius of its base is 28 m, find its height ?
The area of the slant surface of a cone is 3080 sq. m. If the radius of its base is 28 m, find its height ?
Maths-General
Maths-
Factor the given expression completely.
![7 x cubed y minus 63 x y cubed](data:image/png;base64,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)
Factor the given expression completely.
![7 x cubed y minus 63 x y cubed](data:image/png;base64,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)
Maths-General
Maths-
A vessel in the form of a inverted cone is filled with water to the brim. Its height is 20 cm and diameter is 16.8 cm Two equal solid cones are dropped in it , so that they are fully submerged.AS a result , one third of the water in the original cone overflows. What is the volume of each of the solid cones submerged?
A vessel in the form of a inverted cone is filled with water to the brim. Its height is 20 cm and diameter is 16.8 cm Two equal solid cones are dropped in it , so that they are fully submerged.AS a result , one third of the water in the original cone overflows. What is the volume of each of the solid cones submerged?
Maths-General
Maths-
A conical tent can accommodate 11 persons . Every person need 4 sq. m of land 20 cm3 of air. Find the height of the tent just for 11 persons .
A conical tent can accommodate 11 persons . Every person need 4 sq. m of land 20 cm3 of air. Find the height of the tent just for 11 persons .
Maths-General
Maths-
Factor the given expression completely.
![49 x cubed minus 16 x y squared](data:image/png;base64,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)
Factor the given expression completely.
![49 x cubed minus 16 x y squared](data:image/png;base64,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)
Maths-General
Maths-
The heights of 2 cones are same and the radii of their bases are in the ratio 2:3 , ratio of their volumes is
The heights of 2 cones are same and the radii of their bases are in the ratio 2:3 , ratio of their volumes is
Maths-General
Maths-
Write the factored form of the given expression.
![3 x cubed minus 12 x squared plus 12 x](data:image/png;base64,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)
Write the factored form of the given expression.
![3 x cubed minus 12 x squared plus 12 x](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIUAAAARCAYAAADzLW9pAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAgxJREFUeNrtmbFLw0AUxoOIiBRBiog4CEVEHIqrSCmCiIiDCA5FRIrg4NR/wEkEp+Lg5uggiIhIKYJIcXAQpBQncRH/AYcOElzO7+ATolzSK83ZS8gHP2iT66Xfu9fkvavjmJMgX6ABFp14yevvAUw4idrSFHiPqbcesAvqyTK3H7iPmHt0k2XWVxocg2KMPebBfdxMzYMq+GTGv4IjLmgYz91Nw99/EuyxdlFpDlyApqfG2Qjp2qOsKTJx81cDa6DPc2wG3IRgaBAcgB2DQTvl/MLnvPwVF0CK76e5kIUQFqvCxHBi6E+pZsSeuaKNsePgucM7RJVJb/J7dsufUvJ2+KI4vg0OFcf3eU6lHHiyLCn8ElXXX5VdlWNpUnTq75dGWBTKumLZZ0yd435UZDGpqidcPobGLUuKWd5iO/Xnxaak6NSf0mQp4IJLoMzXC+DOkoJZN2j94JEFWjf8iaj5GwKrnDQfMO6W5xshdilBhBU06e/Kab3DmvhTKMXE8FOJ7U/Wota6VdAyDJjOlrRJfyLK/twWfXHZVNtjIGiyKDwBAxrzmPYnouovy2JTlY3XvHiKXUXa8qSQRdU56NXsukz7E1HwJzc/1jmp/J9C7nC+ga0/44bZinknWeHmis1JUdFsH//Ln4iCvxwndkmNg72Su52XYEzx+TNWtN1MhqDCTafAS/wlSuSnb58y0ZkOJLFrAAAAxnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbj4zPC9tbj48bXN1cD48bWk+eDwvbWk+PG1uPjM8L21uPjwvbXN1cD48bW8+JiN4MjIxMjs8L21vPjxtbj4xMjwvbW4+PG1zdXA+PG1pPng8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPis8L21vPjxtbj4xMjwvbW4+PG1pPng8L21pPjwvbWF0aD4/EvpkAAAAAElFTkSuQmCC)
Maths-General
Maths-
Factor the given expression completely.
![121 x squared plus 110 x plus 25](data:image/png;base64,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)
Factor the given expression completely.
![121 x squared plus 110 x plus 25](data:image/png;base64,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)
Maths-General
Maths-
The radii of two cones are same and the ratio of their heights is 2:3, The ratio of their volumes is
The radii of two cones are same and the ratio of their heights is 2:3, The ratio of their volumes is
Maths-General
Maths-
A solid right circular cone of height 20 cm and base radius 15 cm is melted and casted into smaller cones of equal sizes of height 5 cm and base radius 1.5 cm. Find how many cones are made.
A solid right circular cone of height 20 cm and base radius 15 cm is melted and casted into smaller cones of equal sizes of height 5 cm and base radius 1.5 cm. Find how many cones are made.
Maths-General
Maths-
Write the factored form of the given expression.
![36 x squared plus 48 x plus 16](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHwAAAARCAYAAAAfdMg6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAArtJREFUeNrtWcFnHFEcXrFyiAoRFdFDiIjIYZWKqohY9lCVQ4WIyCFiqYiI/Qd6qtJDRFUvFTmtKFV7qLVKRKzIIcSKHCJC9FCV+4paI6TfW9/WdPrezJuZN7vDzsdHZva9N/v7ffP7ve9tUqnO4560wGNwLJWgK9ADroO1JBXdhUaSgu7BLFhN0hA9smAF/M0KuwLfg4OK8VPgF7DO8d8oVhgMcw8fbUO8c/QNMvSBH8BbxvYdfBQTncbB1+CZxzhPfQ7BebDXdu8xg3XiFRcY53U/uAwehQykTNGjxgPwwkXwXfAtmGY+3oEnMRG8yPzfu4wJpU/dcT0JnhoOYpjdpT+gw/eLT2DeZW5DYiatCE8oJueF0ke01ktJspY05+dZHU684WctCLEn2pSwafDAY+4tu4Bd8J8h4mun4H70+YshcJX7+AvHZ5c+226N67Ug1v2oOIfbGYXgoj2fgyMec8X+vWm7fgZuhYivnYL70seZ9IKi3Ym9oUSDZ7GFLCvWfA5u8++crbo60RJFNW5ozM0wLosnhhtwJqL4TAvuV58mBsCXNCqzkgfVWPlptrtpdoN1xXr7XOfMxfUHfSl1u0OGJwCvpInq32OVtAzsE/Caa4SNL+j31xU8iD7/uNkTiYmTHVGEo/+lWKfANy3TQdMj4hjTmFtSfM8sTzKm4zNd4UH0cXWsFb41MlgKk/SVbW+pg4LrVlXDRy5MxGdacL/6/NcGrxz3RFtYlIydkHSDUZ4H+9gtTg20dFMJU829SMn/eTPJvdx0fKYF19ZHmJMFW98XLewHuCJxulUeO9K895TuN2cb95Bv26Dj161izAWfp+hZ5qGVC7GHr0UQn2nBdfVputAy21aD+9WcYlER7A7Pq3d8wIzjoSXFXvKZzjYOUCVtgcbHYi6qNLFxiE/H5Hnpk6Cb8AdQmu7ykWJLOAAAAJ90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW4+MzY8L21uPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4rPC9tbz48bW4+NDg8L21uPjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjE2PC9tbj48L21hdGg+au1FHAAAAABJRU5ErkJggg==)
Write the factored form of the given expression.
![36 x squared plus 48 x plus 16](data:image/png;base64,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)
Maths-General
Maths-
Dimensions of a room are 5m
12m
7m, calculate the diagonal of the room and cost of flooring at the room Rs 2
Dimensions of a room are 5m
12m
7m, calculate the diagonal of the room and cost of flooring at the room Rs 2
Maths-General
Maths-
A cone has a base diameter of 6 cm and a vertical height of 8 cm. Calculate the volume of the cone in cubic centimetres.
A cone has a base diameter of 6 cm and a vertical height of 8 cm. Calculate the volume of the cone in cubic centimetres.
Maths-General
Maths-
What is the length of the longest pole that can be fit in the room of dimensions 5m x 10m x 5m
What is the length of the longest pole that can be fit in the room of dimensions 5m x 10m x 5m
Maths-General