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Popular >

expand (m+6)^3

Solution

expand

(m + 6)^{3}

Solution

m^{3} + 18 m^{2} + 108 m + 216

Solution steps

(m + 6)^{3}

Apply Perfect Cube Formula:

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

(m + 6)^{3} = m^{3} + 3 m^{2} \cdot 6 + 3 m \cdot 6^{2} + 6^{3}

= m^{3} + 3 m^{2} \cdot 6 + 3 m \cdot 6^{2} + 6^{3}

Simplify

m^{3} + 3 m^{2} \cdot 6 + 3 m \cdot 6^{2} + 6^{3} : m^{3} + 18 m^{2} + 108 m + 216

= m^{3} + 18 m^{2} + 108 m + 216

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Frequently Asked Questions (FAQ)

What is expand (m+6)^3 ?
The solution to expand (m+6)^3 is m^3+18m^2+108m+216