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Popular >

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

Solution

expand

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

Solution

x^{3} + x^{2} - x - 1

Solution steps

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

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

Expand

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

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

Distribute parentheses

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

Simplify

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

= x^{3} + x^{2} - x - 1

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Frequently Asked Questions (FAQ)

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