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Popular >

expand 2(x+h)^3

Solution

expand

2 (x + h)^{3}

Solution

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

Solution steps

2 (x + h)^{3}

Expand

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

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

Distribute parentheses

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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