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

Simplify

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

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

Popular Examples

factor 4x^4+3x^2-1 factor

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

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2 p^{2} + 7 p - 9

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- 5 (2)^{2} + 2 x

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

simplify sqrt(45000)simplify

45000

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