What is expand (2x-4y)^3 ?

The solution to expand (2x-4y)^3 is 8x^3-48x^2y+96xy^2-64y^3

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expand (2x-4y)^3

expand

(2 x - 4 y)^{3}

8 x^{3} - 48 x^{2} y + 96 x y^{2} - 64 y^{3}

Solution steps

(2 x - 4 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 x)^{3} - 3 (2 x)^{2} \cdot 4 y + 3 \cdot 2 x (4 y)^{2} - (4 y)^{3} : 8 x^{3} - 48 x^{2} y + 96 x y^{2} - 64 y^{3}

= 8 x^{3} - 48 x^{2} y + 96 x y^{2} - 64 y^{3}

\frac{34}{9}

1.7 5^{2}

25 - - 98 + 81 - - 50

2 (x + 4)^{2}

What is expand (2x-4y)^3 ?
The solution to expand (2x-4y)^3 is 8x^3-48x^2y+96xy^2-64y^3