gravaviwoa

2022-02-03

What is the standard form of $y=\left(x-{x}^{2}\right)\left(x+8\right)-{\left(x+8\right)}^{3}$?

Skaftau0k

Expert

Explanation:
$\left(x-{x}^{2}\right)\left(x+8\right)-{\left(x+8\right)}^{3}$
$-\left(x+8\right)\left[{x}^{2}-x+{\left(x+8\right)}^{2}\right]$
$-\left(x+8\right)\left({x}^{2}-x+{x}^{2}+16x+64\right)$
$-\left(x+8\right)\left(2{x}^{2}+15x+64\right)$
$-2{x}^{3}-31{x}^{2}-184x-512$
Result:
$-2{x}^{3}-31{x}^{2}-184x-512$

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