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Popular >

expand (x+1)(x-2)^2

Solution

expand

(x + 1) (x - 2)^{2}

Solution

x^{3} - 3 x^{2} + 4

Solution steps

(x + 1) (x - 2)^{2}

= (x - 2)^{2} (x + 1)

Expand

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

= (x^{2} - 4 x + 4) (x + 1)

Distribute parentheses

= x^{2} x + x^{2} \cdot 1 - 4 xx - 4 x \cdot 1 + 4 x + 4 \cdot 1

Simplify

x^{2} x + x^{2} \cdot 1 - 4 xx - 4 x \cdot 1 + 4 x + 4 \cdot 1 : x^{3} - 3 x^{2} + 4

= x^{3} - 3 x^{2} + 4

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Frequently Asked Questions (FAQ)

What is expand (x+1)(x-2)^2 ?
The solution to expand (x+1)(x-2)^2 is x^3-3x^2+4