Question

1. find the product: (x - 8)(x^{2}+8x + 64) (x - 8)(x^{2}+8x + 64)= enter your next step here

Explanation:

Step1: Apply distributive property

$x(x^{2}+8x + 64)-8(x^{2}+8x + 64)$

Step2: Distribute $x$ and $- 8$

$(x\cdot x^{2}+x\cdot8x+x\cdot64)+(-8\cdot x^{2}-8\cdot8x - 8\cdot64)$

Step3: Simplify each term

$(x^{3}+8x^{2}+64x)+(-8x^{2}-64x - 512)$

Step4: Combine like - terms

$x^{3}+(8x^{2}-8x^{2})+(64x - 64x)-512$
$x^{3}-512$

Answer:

$x^{3}-512$