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

The solution to expand (2m-3n)^3 is 8m^3-36m^2n+54mn^2-27n^3

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expand (2m-3n)^3

expand

(2 m - 3 n)^{3}

8 m^{3} - 36 m^{2} n + 54 m n^{2} - 27 n^{3}

Solution steps

(2 m - 3 n)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 m)^{3} - 3 (2 m)^{2} \cdot 3 n + 3 \cdot 2 m (3 n)^{2} - (3 n)^{3} : 8 m^{3} - 36 m^{2} n + 54 m n^{2} - 27 n^{3}

= 8 m^{3} - 36 m^{2} n + 54 m n^{2} - 27 n^{3}

(a + 3 b) (2 a - 5 b)

lo g_{4} (2) + lo g_{4} (512)

\frac{6}{27}

(7 - 9) (- - 80)

\frac{sin ( θ )}{csc ( θ )} + \frac{cos ( θ )}{sec ( θ )}

What is expand (2m-3n)^3 ?
The solution to expand (2m-3n)^3 is 8m^3-36m^2n+54mn^2-27n^3