What is expand (5k+4m)^3 ?

The solution to expand (5k+4m)^3 is 125k^3+300mk^2+240km^2+64m^3

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expand (5k+4m)^3

expand

(5 k + 4 m)^{3}

125 k^{3} + 300 m k^{2} + 240 k m^{2} + 64 m^{3}

Solution steps

(5 k + 4 m)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

2 x + 2 - 2 x

a^{4} - 81 b^{10}

\frac{( e ^{n} )}{( e ^{2 n} + g )}

\frac{( ( x ^{3} + 4 x ^{2} ) ( 2 x + 4 ) )}{( 2 x ^{2} + 12 x + 16 )}

\frac{a}{b} + 2 \frac{a}{0.5} b

What is expand (5k+4m)^3 ?
The solution to expand (5k+4m)^3 is 125k^3+300mk^2+240km^2+64m^3