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Popular >

expand (x-1)^3(x+1)

Solution

expand

(x - 1)^{3} (x + 1)

Solution

x^{4} - 2 x^{3} + 2 x - 1

Solution steps

(x - 1)^{3} (x + 1)

Expand

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

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

Distribute parentheses

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

Simplify

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

= x^{4} - 2 x^{3} + 2 x - 1

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Frequently Asked Questions (FAQ)

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