What is expand (5a+4b)^3 ?

The solution to expand (5a+4b)^3 is 125a^3+300a^2b+240ab^2+64b^3

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expand (5a+4b)^3

expand

(5 a + 4 b)^{3}

125 a^{3} + 300 a^{2} b + 240 a b^{2} + 64 b^{3}

Solution steps

(5 a + 4 b)^{3}

Apply Perfect Cube Formula:

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

(5 a + 4 b)^{3} = (5 a)^{3} + 3 (5 a)^{2} \cdot 4 b + 3 \cdot 5 a (4 b)^{2} + (4 b)^{3}

= (5 a)^{3} + 3 (5 a)^{2} \cdot 4 b + 3 \cdot 5 a (4 b)^{2} + (4 b)^{3}

Simplify

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

= 125 a^{3} + 300 a^{2} b + 240 a b^{2} + 64 b^{3}

\frac{( ln ( n + 1 ) )}{e} \cdot \frac{1}{( ln ( n ) )}

\frac{\frac{( 2 \frac{x}{10} ) ^{2}}{( 0.5 - x )}}{10}

(- a^{5})^{4}

2 m^{4} - m^{2} x^{2} - 8 \frac{x}{x ^{2}} - x - m

tan^{3} (\frac{x}{sin ( x )})

What is expand (5a+4b)^3 ?
The solution to expand (5a+4b)^3 is 125a^3+300a^2b+240ab^2+64b^3