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Popular >

expand 6(x+h)^3

Solution

expand

6 (x + h)^{3}

Solution

6 x^{3} + 18 x^{2} h + 18 x h^{2} + 6 h^{3}

Solution steps

6 (x + h)^{3}

Expand

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

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

Distribute parentheses

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

Simplify

6 x^{3} + 6 \cdot 3 x^{2} h + 6 \cdot 3 x h^{2} + 6 h^{3} : 6 x^{3} + 18 x^{2} h + 18 x h^{2} + 6 h^{3}

= 6 x^{3} + 18 x^{2} h + 18 x h^{2} + 6 h^{3}

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Frequently Asked Questions (FAQ)

What is expand 6(x+h)^3 ?
The solution to expand 6(x+h)^3 is 6x^3+18x^2h+18xh^2+6h^3