ostowatygjt

2022-02-01

What is the standard form of y=(2x-2)(x+7)(3x-14)?

Utskoldendv3

Explanation:
y=(2x-2)(x+7)(3x-14)
y={2x(x+7)-2(x+7)}(3x-14)
$y=\left(2{x}^{2}+14x-2x-14\right)\left(3x-14\right)$
$y=\left(2{x}^{2}+12x-14\right)\left(3x-14\right)$
$y=3x\left(2{x}^{2}+12x-14\right)-14\left(2{x}^{2}+12x-14\right)$
$y=6{x}^{3}+36{x}^{2}-42x-28{x}^{2}-168x-196$
$y=6{x}^{3}+8{x}^{2}-210x-196$

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