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The LCM of the polynomials $5 open parentheses x squared minus 2 x close parentheses left parenthesis x minus 6 right parenthesis squared straight & 2 x open parentheses x squared minus 4 close parentheses left parenthesis x minus 6 right parenthesis squared$ is.

hint Hint:

The expansions of the identities are:
$open parentheses x squared minus a squared close parentheses equals left parenthesis x plus a right parenthesis left parenthesis x minus a right parenthesis$
$left parenthesis x plus a right parenthesis left parenthesis x plus b right parenthesis equals x squared plus left parenthesis a plus b right parenthesis x plus a b$
We are asked to find the LCM of the given expression.

The correct answer is: The LCM as (x - 6)2 (x -2) (x + 2) 8x

Step 1 of 2:
Factorize each expression;
Consider $8 open parentheses x squared minus 2 x close parentheses left parenthesis x minus 6 right parenthesis squared colon$
$8 open parentheses x squared minus 2 x close parentheses left parenthesis x minus 6 right parenthesis squared equals 8 x left parenthesis x minus 2 right parenthesis left parenthesis x minus 6 right parenthesis squared$
Similarly, factorize $2 x open parentheses x squared minus 4 close parentheses left parenthesis x minus 6 right parenthesis squared$
$2 x open parentheses x squared minus 4 close parentheses left parenthesis x minus 6 right parenthesis squared equals 2 x open parentheses x squared minus 2 squared close parentheses left parenthesis x minus 6 right parenthesis squared$
$equals 2 x left parenthesis x minus 2 right parenthesis left parenthesis x plus 2 right parenthesis left parenthesis x minus 6 right parenthesis squared$
Step 2 of 2:
Analyze the factors of these expressions;
$8 open parentheses x squared minus 2 x close parentheses left parenthesis x minus 6 right parenthesis squared equals 8 x left parenthesis x minus 2 right parenthesis left parenthesis x minus 6 right parenthesis squared$
$2 x open parentheses x squared minus 4 close parentheses left parenthesis x minus 6 right parenthesis squared equals 2 x left parenthesis x minus 2 right parenthesis left parenthesis x plus 2 right parenthesis left parenthesis x minus 6 right parenthesis squared$
Identify each factors most frequent occurrence. Highlight all most frequently occurring factors, and then find the product of the highlighted factors. The product would be the LCM.
Thus, we have The LCM as $left parenthesis x minus 6 right parenthesis squared left parenthesis x minus 2 right parenthesis left parenthesis x plus 2 right parenthesis 8 x$ :

LCM of two values are their least common multiples.

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.

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The LCM of the polynomials is.

The expansions of the identities are:We are asked to find the LCM of the given expression.

The correct answer is: The LCM as (x - 6)2 (x -2) (x + 2) 8x

Related Questions to study

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