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Popular >

expand 2x(x+1)^3

Solution

expand

2 x (x + 1)^{3}

Solution

2 x^{4} + 6 x^{3} + 6 x^{2} + 2 x

Solution steps

2 x (x + 1)^{3}

Expand

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

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

Distribute parentheses

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

Simplify

2 x x^{3} + 2 x \cdot 3 x^{2} + 2 x \cdot 3 x + 2 x \cdot 1 : 2 x^{4} + 6 x^{3} + 6 x^{2} + 2 x

= 2 x^{4} + 6 x^{3} + 6 x^{2} + 2 x

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Frequently Asked Questions (FAQ)

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