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Popular >

expand (m-1)^3

Solution

expand

(m - 1)^{3}

Solution

m^{3} - 3 m^{2} + 3 m - 1

Solution steps

(m - 1)^{3}

Apply Perfect Cube Formula:

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

(m - 1)^{3} = m^{3} - 3 m^{2} \cdot 1 + 3 m \cdot 1^{2} - 1^{3}

= m^{3} - 3 m^{2} \cdot 1 + 3 m \cdot 1^{2} - 1^{3}

Simplify

m^{3} - 3 m^{2} \cdot 1 + 3 m \cdot 1^{2} - 1^{3} : m^{3} - 3 m^{2} + 3 m - 1

= m^{3} - 3 m^{2} + 3 m - 1

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Frequently Asked Questions (FAQ)

What is expand (m-1)^3 ?
The solution to expand (m-1)^3 is m^3-3m^2+3m-1