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Popular >

expand (m+5)^3

Solution

expand

(m + 5)^{3}

Solution

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

Solution steps

(m + 5)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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