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Popular >

expand 4(x+h)^3

Solution

expand

4 (x + h)^{3}

Solution

4 x^{3} + 12 x^{2} h + 12 x h^{2} + 4 h^{3}

Solution steps

4 (x + h)^{3}

Expand

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

= 4 (x^{3} + 3 x^{2} h + 3 x h^{2} + h^{3})

Distribute parentheses

= 4 x^{3} + 4 \cdot 3 x^{2} h + 4 \cdot 3 x h^{2} + 4 h^{3}

Simplify

4 x^{3} + 4 \cdot 3 x^{2} h + 4 \cdot 3 x h^{2} + 4 h^{3} : 4 x^{3} + 12 x^{2} h + 12 x h^{2} + 4 h^{3}

= 4 x^{3} + 12 x^{2} h + 12 x h^{2} + 4 h^{3}

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Frequently Asked Questions (FAQ)

What is expand 4(x+h)^3 ?
The solution to expand 4(x+h)^3 is 4x^3+12x^2h+12xh^2+4h^3