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

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

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expand (3x+5y)^3

expand

(3 x + 5 y)^{3}

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

Solution steps

(3 x + 5 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

- \frac{- 1 + \frac{3}{4} - \frac{1}{3}}{2 - \frac{1}{4}}

24 \times 2

\frac{x}{5 x - 6} - \frac{x + 3}{6 x}

2 + 1

lo g_{3} (36)

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