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Popular >

expand (m+3)^3

Solution

expand

(m + 3)^{3}

Solution

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

Solution steps

(m + 3)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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