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Popular >

expand (m-10)^3

Solution

expand

(m - 10)^{3}

Solution

m^{3} - 30 m^{2} + 300 m - 1000

Solution steps

(m - 10)^{3}

Apply Perfect Cube Formula:

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

(m - 10)^{3} = m^{3} - 3 m^{2} \cdot 10 + 3 m \cdot 1 0^{2} - 1 0^{3}

= m^{3} - 3 m^{2} \cdot 10 + 3 m \cdot 1 0^{2} - 1 0^{3}

Simplify

m^{3} - 3 m^{2} \cdot 10 + 3 m \cdot 1 0^{2} - 1 0^{3} : m^{3} - 30 m^{2} + 300 m - 1000

= m^{3} - 30 m^{2} + 300 m - 1000

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Frequently Asked Questions (FAQ)

What is expand (m-10)^3 ?
The solution to expand (m-10)^3 is m^3-30m^2+300m-1000