What is expand (2x-5y)^3 ?

The solution to expand (2x-5y)^3 is 8x^3-60x^2y+150xy^2-125y^3

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expand (2x-5y)^3

expand

(2 x - 5 y)^{3}

8 x^{3} - 60 x^{2} y + 150 x y^{2} - 125 y^{3}

Solution steps

(2 x - 5 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 x)^{3} - 3 (2 x)^{2} \cdot 5 y + 3 \cdot 2 x (5 y)^{2} - (5 y)^{3} : 8 x^{3} - 60 x^{2} y + 150 x y^{2} - 125 y^{3}

= 8 x^{3} - 60 x^{2} y + 150 x y^{2} - 125 y^{3}

(3 x + 2) (2 x - 3)

\frac{0.2 5 ^{4}}{( \frac{1}{4} ) ^{2}}

(- 2 - t)^{3}

(7 + 2 i) (- 6 + 8 i)

x^{4} + x^{2} y^{2} + y^{4}

What is expand (2x-5y)^3 ?
The solution to expand (2x-5y)^3 is 8x^3-60x^2y+150xy^2-125y^3