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Popular >

expand (h+3)^3

Solution

expand

(h + 3)^{3}

Solution

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

Solution steps

(h + 3)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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