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Popular Calculus >

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

Solution

expand

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

Solution

x^{3} - 12 x + 16

Solution steps

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

Expand

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

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

Distribute parentheses

= x^{2} x + x^{2} \cdot 4 - 4 xx - 4 x \cdot 4 + 4 x + 4 \cdot 4

Simplify

x^{2} x + x^{2} \cdot 4 - 4 xx - 4 x \cdot 4 + 4 x + 4 \cdot 4 : x^{3} - 12 x + 16

= x^{3} - 12 x + 16

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Frequently Asked Questions (FAQ)

What is expand (x-2)^2(x+4) ?
The solution to expand (x-2)^2(x+4) is x^3-12x+16