What is expand (8x-4y)^3 ?

The solution to expand (8x-4y)^3 is 512x^3-768x^2y+384xy^2-64y^3

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expand (8x-4y)^3

expand

(8 x - 4 y)^{3}

512 x^{3} - 768 x^{2} y + 384 x y^{2} - 64 y^{3}

Solution steps

(8 x - 4 y)^{3}

Apply Perfect Cube Formula:

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

(8 x - 4 y)^{3} = (8 x)^{3} - 3 (8 x)^{2} \cdot 4 y + 3 \cdot 8 x (4 y)^{2} - (4 y)^{3}

= (8 x)^{3} - 3 (8 x)^{2} \cdot 4 y + 3 \cdot 8 x (4 y)^{2} - (4 y)^{3}

Simplify

(8 x)^{3} - 3 (8 x)^{2} \cdot 4 y + 3 \cdot 8 x (4 y)^{2} - (4 y)^{3} : 512 x^{3} - 768 x^{2} y + 384 x y^{2} - 64 y^{3}

= 512 x^{3} - 768 x^{2} y + 384 x y^{2} - 64 y^{3}

\frac{2}{5} x - 1 \frac{x}{2}

3 (2 x - 2) + 8

\frac{( m ^{2} - m - 6 )}{( m + 2 )}

f (2 x) \cdot f (4 - 2 x)

a (- 2.1) b (3 - 4)

What is expand (8x-4y)^3 ?
The solution to expand (8x-4y)^3 is 512x^3-768x^2y+384xy^2-64y^3