# What is the standard form of y=8(x^2 - 16) (x^2 -16)(x^3 + 8) ?

May 31, 2018

color(crimson)(y = 8x^7 - 256x^5 + 64x^4 + 2048x^3 - 2048x^2 + 16394

#### Explanation:

$y = 8 \left({x}^{2} - 16\right) \left({x}^{2} - 16\right) \left({x}^{3} + 8\right)$

$y = 8 \left({x}^{4} - 32 {x}^{2} + 256\right) \left({x}^{3} + 8\right)$

$y = 8 \left({x}^{7} - 32 {x}^{5} + 256 {x}^{3} + 8 {x}^{4} - 256 {x}^{2} + 2048\right)$

color(crimson)(y = 8x^7 - 256x^5 + 64x^4 + 2048x^3 - 2048x^2 + 16394