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Popular >

expand x(x-2)^2(x+4)

Solution

expand

x (x - 2)^{2} (x + 4)

Solution

x^{4} - 12 x^{2} + 16 x

Solution steps

x (x - 2)^{2} (x + 4)

Expand

(x - 2)^{2} : x^{2} - 4 x + 4

= x (x^{2} - 4 x + 4) (x + 4)

Expand

x (x + 4) : x^{2} + 4 x

= (x^{2} + 4 x) (x^{2} - 4 x + 4)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 4 x) + x^{2} \cdot 4 + 4 x x^{2} + 4 x (- 4 x) + 4 x \cdot 4

Simplify

x^{2} x^{2} + x^{2} (- 4 x) + x^{2} \cdot 4 + 4 x x^{2} + 4 x (- 4 x) + 4 x \cdot 4 : x^{4} - 12 x^{2} + 16 x

= x^{4} - 12 x^{2} + 16 x

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Frequently Asked Questions (FAQ)

What is expand x(x-2)^2(x+4) ?
The solution to expand x(x-2)^2(x+4) is x^4-12x^2+16x