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

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

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Answer 1 · 2015-08-29T16:04:14

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

Explanation:

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

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

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

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

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

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

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Explanation:

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How do you simplify -3x^3(x-2)^2(x+7)−3x3(x−2)2(x+7)-3x^3(x-2)^2(x+7)?

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