How do you simplify $-3x^3(x-2)^2(x+7)$ ?

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Answer 1 · 2015-08-29T16:04:14

$- 3x^6 - 15x^5 + 30x^4 -84x^3$

$-3x^3(x - 2)^2 (x + 7)$

Expand the term $(x - 2)^2$
$-3x^3(x^2 -2x + 4) (x + 7)$

Multiply $(x^2 -2x + 4) (x + 7)$
$- 3x^3(x^3 - 2x^2 +4x +7x^2- 14x +28)$

Simplify $(x^3 +5x^2- 10x + 28)$
$- 3x^3(x^3 +5x^2- 10x + 28)$

Multiply $(x^3 +5x^2- 10x + 28)$ with $- 3x^3$
$- 3x^6 - 15x^5 + 30x^4 -84x^3$

How do you simplify -3x^3(x-2)^2(x+7)-3x^3(x-2)^2(x+7)?