What is expand (5x+2y)^3 ?

The solution to expand (5x+2y)^3 is 125x^3+150x^2y+60xy^2+8y^3

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expand (5x+2y)^3

expand

(5 x + 2 y)^{3}

125 x^{3} + 150 x^{2} y + 60 x y^{2} + 8 y^{3}

Solution steps

(5 x + 2 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(5 x)^{3} + 3 (5 x)^{2} \cdot 2 y + 3 \cdot 5 x (2 y)^{2} + (2 y)^{3} : 125 x^{3} + 150 x^{2} y + 60 x y^{2} + 8 y^{3}

= 125 x^{3} + 150 x^{2} y + 60 x y^{2} + 8 y^{3}

\frac{2}{50}

2700

(x + 2) (2 x - 1)

(x + 1) (x + 2) (x + 3) (x + 4)

6 \div \frac{3}{5}

What is expand (5x+2y)^3 ?
The solution to expand (5x+2y)^3 is 125x^3+150x^2y+60xy^2+8y^3