Question

Express the product in simplest form.

Answer 1

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

1. Cross cancel
$\frac{4}{2x+8}* \frac{ x^{2} -16}{1}$

2. Multiply numerators
4*x²-16 = 4x²-64

3. Multiply denominators
2x+8*1 = 2x+8

$\frac{4 x^{2} -64}{2x+8}$

4. Divide
$\frac{4 x^{2} -64}{2x+8} = 2x-8$

5. Simplify
2(x-4)

Answer is 2(x - 4)