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

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

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expand (5x+y)^3

expand

(5 x + y)^{3}

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

Solution steps

(5 x + y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

10 c^{2} - 11 c^{9}

\frac{( x ^{2} + 3 x + 1 )}{( 2 )}

x^{2} \cdot (\frac{x}{y} - \frac{y}{x}) (\frac{y}{x} + \frac{x}{y}) \cdot y^{2}

(\frac{2 x - 1}{3 y})^{3}

9 m 12 + 23 n^{6} + 144

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