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Popular >

expand (m-4)^3

Solution

expand

(m - 4)^{3}

Solution

m^{3} - 12 m^{2} + 48 m - 64

Solution steps

(m - 4)^{3}

Apply Perfect Cube Formula:

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

(m - 4)^{3} = m^{3} - 3 m^{2} \cdot 4 + 3 m \cdot 4^{2} - 4^{3}

= m^{3} - 3 m^{2} \cdot 4 + 3 m \cdot 4^{2} - 4^{3}

Simplify

m^{3} - 3 m^{2} \cdot 4 + 3 m \cdot 4^{2} - 4^{3} : m^{3} - 12 m^{2} + 48 m - 64

= m^{3} - 12 m^{2} + 48 m - 64

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Frequently Asked Questions (FAQ)

What is expand (m-4)^3 ?
The solution to expand (m-4)^3 is m^3-12m^2+48m-64