What is expand (4x-5y)^3 ?

The solution to expand (4x-5y)^3 is 64x^3-240x^2y+300xy^2-125y^3

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expand (4x-5y)^3

expand

(4 x - 5 y)^{3}

64 x^{3} - 240 x^{2} y + 300 x y^{2} - 125 y^{3}

Solution steps

(4 x - 5 y)^{3}

Apply Perfect Cube Formula:

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

(4 x - 5 y)^{3} = (4 x)^{3} - 3 (4 x)^{2} \cdot 5 y + 3 \cdot 4 x (5 y)^{2} - (5 y)^{3}

= (4 x)^{3} - 3 (4 x)^{2} \cdot 5 y + 3 \cdot 4 x (5 y)^{2} - (5 y)^{3}

Simplify

(4 x)^{3} - 3 (4 x)^{2} \cdot 5 y + 3 \cdot 4 x (5 y)^{2} - (5 y)^{3} : 64 x^{3} - 240 x^{2} y + 300 x y^{2} - 125 y^{3}

= 64 x^{3} - 240 x^{2} y + 300 x y^{2} - 125 y^{3}

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

- 4 (1 - a) - (5 + a) 2 - (a + 1) (a - 1) \cdot 0.3

(- 5 m^{6} n^{8})^{4}

\frac{( 5 x ^{2} - 15 x )}{( 5 x ^{2} + 15 x )}

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

What is expand (4x-5y)^3 ?
The solution to expand (4x-5y)^3 is 64x^3-240x^2y+300xy^2-125y^3