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{- 7 - 4 i}{2 - 7 i}

(x - 5) (x + 1) (x - 2)

\frac{50}{7}

(3 x + 1) (3 x^{2} - 6 x - 8)

1 - \frac{4}{25}

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