Question

What is the product? startfraction x squared minus 16 over 2 x 8 endfraction times startfraction x cubed minus 2 x squared x over x squared 3 x minus 4 endfraction

Answer 1

The product of the given expression is $\frac{x(x-1)(x-4)}{2(x+4)}$ OR $\frac{x(x^{2} -5x+4)}{2x+8}$ OR $\frac{x^{3} -5x^{2} +4x}{2x+8}$

Simplifying fractions

From the question, we are to determine the product of the given expressions

The given expressions are

$\frac{x^{2} - 16}{2x+8}\times \frac{x^{3}-2x^{2} +x}{x^{2} +3x-4}$

$\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x^{2} -x)(x-1)}{(x-1)(x+4)}$

$\frac{(x-4)}{2}\times \frac{(x^{2} -x)}{(x+4)}$
$\frac{(x-4)}{2}\times \frac{x(x-1)}{(x+4)}$

$\frac{x(x-1)(x-4)}{2(x+4)}$

OR

$\frac{x(x^{2} -5x+4)}{2x+8}$

OR
$\frac{x^{3} -5x^{2} +4x}{2x+8}$

Hence, the product of the given expression is $\frac{x(x-1)(x-4)}{2(x+4)}$ OR $\frac{x(x^{2} -5x+4)}{2x+8}$ OR $\frac{x^{3} -5x^{2} +4x}{2x+8}$

Learn more on Simplifying fractions here: brainly.com/question/27038950

Here is the complete and correct question:

What is the product? StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x Over x squared + 3 x minus 4 EndFraction

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