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

The solution to expand (3x+3y)^3 is 27x^3+81x^2y+81xy^2+27y^3

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expand (3x+3y)^3

expand

(3 x + 3 y)^{3}

27 x^{3} + 81 x^{2} y + 81 x y^{2} + 27 y^{3}

Solution steps

(3 x + 3 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 x)^{3} + 3 (3 x)^{2} \cdot 3 y + 3 \cdot 3 x (3 y)^{2} + (3 y)^{3} : 27 x^{3} + 81 x^{2} y + 81 x y^{2} + 27 y^{3}

= 27 x^{3} + 81 x^{2} y + 81 x y^{2} + 27 y^{3}

x \cdot y^{5} - x^{5} \cdot y

3 x \cdot y^{2} - 9 x^{2} \cdot y

39 x y \cdot z^{2} - 13 x^{2} \cdot y^{2} \cdot z^{2} + 65 x^{3} \cdot y^{3} \cdot z

\frac{( ( a - b ) ^{2} + ( b - c ) ^{2} + ( a - c ) ^{2} )}{12}

\frac{4 ( x - 6 ) ^{2}}{( x - 6 )}

What is expand (3x+3y)^3 ?
The solution to expand (3x+3y)^3 is 27x^3+81x^2y+81xy^2+27y^3