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Popular >

expand (2n-m)^3

Solution

expand

(2 n - m)^{3}

Solution

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

Solution steps

(2 n - m)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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