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

The solution to expand (6x+6y)^3 is 216x^3+648x^2y+648xy^2+216y^3

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expand (6x+6y)^3

expand

(6 x + 6 y)^{3}

216 x^{3} + 648 x^{2} y + 648 x y^{2} + 216 y^{3}

Solution steps

(6 x + 6 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(6 x)^{3} + 3 (6 x)^{2} \cdot 6 y + 3 \cdot 6 x (6 y)^{2} + (6 y)^{3} : 216 x^{3} + 648 x^{2} y + 648 x y^{2} + 216 y^{3}

= 216 x^{3} + 648 x^{2} y + 648 x y^{2} + 216 y^{3}

20 x^{2} - 8 m - 12

(x - y)^{3} + (y - z)^{3} + (3 c - 5 a)^{3}

\frac{( 2 b \cdot b - 2 b ^{- \frac{1}{2}} )}{( b ^{- 1} - b )}

2 x^{3} + 13 x^{2} + 15 x

x^{3} - 10 x^{2} - 53 x - 42

What is expand (6x+6y)^3 ?
The solution to expand (6x+6y)^3 is 216x^3+648x^2y+648xy^2+216y^3