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Popular >

expand (2m-n)^3

Solution

expand

(2 m - n)^{3}

Solution

8 m^{3} - 12 m^{2} n + 6 m n^{2} - n^{3}

Solution steps

(2 m - n)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 m)^{3} - 3 (2 m)^{2} n + 3 \cdot 2 m n^{2} - n^{3} : 8 m^{3} - 12 m^{2} n + 6 m n^{2} - n^{3}

= 8 m^{3} - 12 m^{2} n + 6 m n^{2} - n^{3}

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Frequently Asked Questions (FAQ)

What is expand (2m-n)^3 ?
The solution to expand (2m-n)^3 is 8m^3-12m^2n+6mn^2-n^3