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

The solution to expand (x+5y)^3 is x^3+15x^2y+75xy^2+125y^3

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expand (x+5y)^3

expand

(x + 5 y)^{3}

x^{3} + 15 x^{2} y + 75 x y^{2} + 125 y^{3}

Solution steps

(x + 5 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

x^{3} + 3 x^{2} \cdot 5 y + 3 x (5 y)^{2} + (5 y)^{3} : x^{3} + 15 x^{2} y + 75 x y^{2} + 125 y^{3}

= x^{3} + 15 x^{2} y + 75 x y^{2} + 125 y^{3}

\frac{1}{s + 1} + 2

(s + 3)^{3}

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

(x^{2} - y^{2}) (x^{2} + y^{2})

\frac{7 x}{x}

What is expand (x+5y)^3 ?
The solution to expand (x+5y)^3 is x^3+15x^2y+75xy^2+125y^3