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

The solution to expand (5x+3y)^3 is 125x^3+225x^2y+135xy^2+27y^3

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expand (5x+3y)^3

expand

(5 x + 3 y)^{3}

125 x^{3} + 225 x^{2} y + 135 x y^{2} + 27 y^{3}

Solution steps

(5 x + 3 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(5 x)^{3} + 3 (5 x)^{2} \cdot 3 y + 3 \cdot 5 x (3 y)^{2} + (3 y)^{3} : 125 x^{3} + 225 x^{2} y + 135 x y^{2} + 27 y^{3}

= 125 x^{3} + 225 x^{2} y + 135 x y^{2} + 27 y^{3}

(x + 2 y) (x + 2 y + 2) - 8

- 3 (y - 5)

\frac{( x ^{3} - 4 x )}{( - 4 x ^{2} + 12 x )}

2 r^{2} - 5 x^{1} + 6 \cdot 3 x^{4} - 5 x^{3} - 6 x^{2} + 4 x - 3

(\frac{3 x - 5 - 1}{( 3 x - 5 )})^{5}

What is expand (5x+3y)^3 ?
The solution to expand (5x+3y)^3 is 125x^3+225x^2y+135xy^2+27y^3