What is expand (5m-4n)^3 ?

The solution to expand (5m-4n)^3 is 125m^3-300m^2n+240mn^2-64n^3

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expand (5m-4n)^3

expand

(5 m - 4 n)^{3}

125 m^{3} - 300 m^{2} n + 240 m n^{2} - 64 n^{3}

Solution steps

(5 m - 4 n)^{3}

Apply Perfect Cube Formula:

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

(5 m - 4 n)^{3} = (5 m)^{3} - 3 (5 m)^{2} \cdot 4 n + 3 \cdot 5 m (4 n)^{2} - (4 n)^{3}

= (5 m)^{3} - 3 (5 m)^{2} \cdot 4 n + 3 \cdot 5 m (4 n)^{2} - (4 n)^{3}

Simplify

(5 m)^{3} - 3 (5 m)^{2} \cdot 4 n + 3 \cdot 5 m (4 n)^{2} - (4 n)^{3} : 125 m^{3} - 300 m^{2} n + 240 m n^{2} - 64 n^{3}

= 125 m^{3} - 300 m^{2} n + 240 m n^{2} - 64 n^{3}

10 c h - 35 h

\frac{8 x}{16 x ^{4}}

122 - 3 \cdot 4^{2} + 4 - 3

\frac{1}{x - 4} - \frac{5}{x + 6}

2 - 1 - 6 x + x^{2}

What is expand (5m-4n)^3 ?
The solution to expand (5m-4n)^3 is 125m^3-300m^2n+240mn^2-64n^3