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Popular >

expand (5+h)^3

Solution

expand

(5 + h)^{3}

Solution

125 + 75 h + 15 h^{2} + h^{3}

Solution steps

(5 + h)^{3}

Apply Perfect Cube Formula:

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

(5 + h)^{3} = 5^{3} + 3 \cdot 5^{2} h + 3 \cdot 5 h^{2} + h^{3}

= 5^{3} + 3 \cdot 5^{2} h + 3 \cdot 5 h^{2} + h^{3}

Simplify

5^{3} + 3 \cdot 5^{2} h + 3 \cdot 5 h^{2} + h^{3} : 125 + 75 h + 15 h^{2} + h^{3}

= 125 + 75 h + 15 h^{2} + h^{3}

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Frequently Asked Questions (FAQ)

What is expand (5+h)^3 ?
The solution to expand (5+h)^3 is 125+75h+15h^2+h^3