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

The solution to expand (2x-2y)^3 is 8x^3-24x^2y+24xy^2-8y^3

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expand (2x-2y)^3

expand

(2 x - 2 y)^{3}

8 x^{3} - 24 x^{2} y + 24 x y^{2} - 8 y^{3}

Solution steps

(2 x - 2 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 x)^{3} - 3 (2 x)^{2} \cdot 2 y + 3 \cdot 2 x (2 y)^{2} - (2 y)^{3} : 8 x^{3} - 24 x^{2} y + 24 x y^{2} - 8 y^{3}

= 8 x^{3} - 24 x^{2} y + 24 x y^{2} - 8 y^{3}

\frac{h}{h}

e^{l n (x) + l n (3)}

1 - \frac{5}{7}

(k + 8) (k - 4)

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

What is expand (2x-2y)^3 ?
The solution to expand (2x-2y)^3 is 8x^3-24x^2y+24xy^2-8y^3