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Popular >

expand (9+h)^3

Solution

expand

(9 + h)^{3}

Solution

729 + 243 h + 27 h^{2} + h^{3}

Solution steps

(9 + h)^{3}

Apply Perfect Cube Formula:

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

(9 + h)^{3} = 9^{3} + 3 \cdot 9^{2} h + 3 \cdot 9 h^{2} + h^{3}

= 9^{3} + 3 \cdot 9^{2} h + 3 \cdot 9 h^{2} + h^{3}

Simplify

9^{3} + 3 \cdot 9^{2} h + 3 \cdot 9 h^{2} + h^{3} : 729 + 243 h + 27 h^{2} + h^{3}

= 729 + 243 h + 27 h^{2} + h^{3}

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Frequently Asked Questions (FAQ)

What is expand (9+h)^3 ?
The solution to expand (9+h)^3 is 729+243h+27h^2+h^3