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Popular >

expand (x+2)^3(x-1)

Solution

expand

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

Solution

x^{4} + 5 x^{3} + 6 x^{2} - 4 x - 8

Solution steps

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

Expand

(x + 2)^{3} : x^{3} + 6 x^{2} + 12 x + 8

= (x^{3} + 6 x^{2} + 12 x + 8) (x - 1)

Distribute parentheses

= x^{3} x + x^{3} (- 1) + 6 x^{2} x + 6 x^{2} (- 1) + 12 xx + 12 x (- 1) + 8 x + 8 (- 1)

Simplify

x^{3} x + x^{3} (- 1) + 6 x^{2} x + 6 x^{2} (- 1) + 12 xx + 12 x (- 1) + 8 x + 8 (- 1) : x^{4} + 5 x^{3} + 6 x^{2} - 4 x - 8

= x^{4} + 5 x^{3} + 6 x^{2} - 4 x - 8

Popular Examples

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5 \frac{5}{9} \div 2 \frac{2}{3}

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5 x^{2} - 10 x - 400

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7^{- 9}

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\frac{20 b}{( 4 b ^{3} ) ^{3}}

Frequently Asked Questions (FAQ)

What is expand (x+2)^3(x-1) ?
The solution to expand (x+2)^3(x-1) is x^4+5x^3+6x^2-4x-8