What is expand (3x-6y)^3 ?

The solution to expand (3x-6y)^3 is 27x^3-162x^2y+324xy^2-216y^3

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expand (3x-6y)^3

expand

(3 x - 6 y)^{3}

27 x^{3} - 162 x^{2} y + 324 x y^{2} - 216 y^{3}

Solution steps

(3 x - 6 y)^{3}

Apply Perfect Cube Formula:

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

(3 x - 6 y)^{3} = (3 x)^{3} - 3 (3 x)^{2} \cdot 6 y + 3 \cdot 3 x (6 y)^{2} - (6 y)^{3}

= (3 x)^{3} - 3 (3 x)^{2} \cdot 6 y + 3 \cdot 3 x (6 y)^{2} - (6 y)^{3}

Simplify

(3 x)^{3} - 3 (3 x)^{2} \cdot 6 y + 3 \cdot 3 x (6 y)^{2} - (6 y)^{3} : 27 x^{3} - 162 x^{2} y + 324 x y^{2} - 216 y^{3}

= 27 x^{3} - 162 x^{2} y + 324 x y^{2} - 216 y^{3}

6 v^{3} + 2 w^{3}

\frac{( x ^{2} + 4 x + 3 )}{( x ^{2} + 3 x + 2 )}

f^{0} (x)

\frac{1}{x + x}

(x + 4 n)^{4}

What is expand (3x-6y)^3 ?
The solution to expand (3x-6y)^3 is 27x^3-162x^2y+324xy^2-216y^3