Answer
$16x^{2}-2\cdot\pi\cdot x^{2}=2x^{2}(8-\pi)$
Work Step by Step
The area of a square = $($side length$)^{2}$
The area of a circle = $\pi\cdot($radius$)^{2}$
Shaded area = (area of square) - 2$\times$(area of circle)
$=(4x)^{2}-2\cdot\pi\cdot x^{2}$
$=16x^{2}-\pi\cdot 2x^{2}$
GCF of the terms is $2x^{2}$. Use the distributive property to factor:
$=2x^{2}\cdot 8-2x^{2}\cdot\pi$
$=2x^{2}(8-\pi)$