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

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

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expand (2x+5y)^3

expand

(2 x + 5 y)^{3}

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

Solution steps

(2 x + 5 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

(a^{x - 2} - 5)^{2}

(7 a - 3 b)^{2}

\frac{x ^{2} - x}{x ^{2} - 1}

\frac{3}{5} \div \frac{1}{6}

(\frac{2}{5})^{3} (\frac{2}{5})^{4} (\frac{2}{5})^{- 5}

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