Chapter A.5, Problem 15AYU

To determine

To find: Simplify the given in factored form.

Answer to Problem 15AYU

$\frac{2x\left(x^2+4x+16\right)}{\left(x+4\right)}$

Explanation of Solution

Given:

$\frac{4x^2}{x^2-16}\cdot \frac{x^3-64}{2x}$

Calculation:

$\frac{4x^2}{x^2-16}\cdot \frac{x^3-64}{2x}=\frac{4x^2\left(x^3-4^3\right)}{2x\left(x^2-4^2\right)}=\frac{2x\left(x^2+4x+16\right)}{\left(x+4\right)}$