What is expand (5x+4y)^3 ?

The solution to expand (5x+4y)^3 is 125x^3+300x^2y+240xy^2+64y^3

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expand (5x+4y)^3

expand

(5 x + 4 y)^{3}

125 x^{3} + 300 x^{2} y + 240 x y^{2} + 64 y^{3}

Solution steps

(5 x + 4 y)^{3}

Apply Perfect Cube Formula:

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

(5 x + 4 y)^{3} = (5 x)^{3} + 3 (5 x)^{2} \cdot 4 y + 3 \cdot 5 x (4 y)^{2} + (4 y)^{3}

= (5 x)^{3} + 3 (5 x)^{2} \cdot 4 y + 3 \cdot 5 x (4 y)^{2} + (4 y)^{3}

Simplify

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

= 125 x^{3} + 300 x^{2} y + 240 x y^{2} + 64 y^{3}

- 0.5 lo g_{2} (0.5) - 0.5 lo g_{2} (0.5)

\frac{- 4 \frac{1}{2}}{( - 1 \frac{3}{8} )}

- \frac{1}{2} \cdot lo g_{2} (\frac{1}{2}) - \frac{1}{2} \cdot lo g_{2} (\frac{1}{2})

(- 5) \cdot (- 3)

5 y - 3 (y + 2)

What is expand (5x+4y)^3 ?
The solution to expand (5x+4y)^3 is 125x^3+300x^2y+240xy^2+64y^3