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Popular >

expand 2(x+1)^3

Solution

expand

2 (x + 1)^{3}

Solution

2 x^{3} + 6 x^{2} + 6 x + 2

Solution steps

2 (x + 1)^{3}

Expand

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

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

Distribute parentheses

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

Simplify

2 x^{3} + 2 \cdot 3 x^{2} + 2 \cdot 3 x + 2 \cdot 1 : 2 x^{3} + 6 x^{2} + 6 x + 2

= 2 x^{3} + 6 x^{2} + 6 x + 2

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Frequently Asked Questions (FAQ)

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