What is expand (2m^5-n)^3 ?

The solution to expand (2m^5-n)^3 is 8m^{15}-12m^{10}n+6m^5n^2-n^3

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expand (2m^5-n)^3

expand

(2 m^{5} - n)^{3}

8 m^{15} - 12 m^{10} n + 6 m^{5} n^{2} - n^{3}

Solution steps

(2 m^{5} - n)^{3}

Apply Perfect Cube Formula:

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

(2 m^{5} - n)^{3} = (2 m^{5})^{3} - 3 (2 m^{5})^{2} n + 3 \cdot 2 m^{5} n^{2} - n^{3}

= (2 m^{5})^{3} - 3 (2 m^{5})^{2} n + 3 \cdot 2 m^{5} n^{2} - n^{3}

Simplify

(2 m^{5})^{3} - 3 (2 m^{5})^{2} n + 3 \cdot 2 m^{5} n^{2} - n^{3} : 8 m^{15} - 12 m^{10} n + 6 m^{5} n^{2} - n^{3}

= 8 m^{15} - 12 m^{10} n + 6 m^{5} n^{2} - n^{3}

7.2

\frac{200}{2}

765

776

6 0^{2} + 4 0^{2}

What is expand (2m^5-n)^3 ?
The solution to expand (2m^5-n)^3 is 8m^{15}-12m^{10}n+6m^5n^2-n^3