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Popular >

expand (-3+h)^3

Solution

expand

(- 3 + h)^{3}

Solution

- 27 + 27 h - 9 h^{2} + h^{3}

Solution steps

(- 3 + h)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

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

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

Simplify

(- 3)^{3} + 3 (- 3)^{2} h + 3 (- 3) h^{2} + h^{3} : - 27 + 27 h - 9 h^{2} + h^{3}

= - 27 + 27 h - 9 h^{2} + h^{3}

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Frequently Asked Questions (FAQ)

What is expand (-3+h)^3 ?
The solution to expand (-3+h)^3 is -27+27h-9h^2+h^3