What is expand (6x+4y)^3 ?

The solution to expand (6x+4y)^3 is 216x^3+432x^2y+288xy^2+64y^3

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expand (6x+4y)^3

expand

(6 x + 4 y)^{3}

216 x^{3} + 432 x^{2} y + 288 x y^{2} + 64 y^{3}

Solution steps

(6 x + 4 y)^{3}

Apply Perfect Cube Formula:

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

(6 x + 4 y)^{3} = (6 x)^{3} + 3 (6 x)^{2} \cdot 4 y + 3 \cdot 6 x (4 y)^{2} + (4 y)^{3}

= (6 x)^{3} + 3 (6 x)^{2} \cdot 4 y + 3 \cdot 6 x (4 y)^{2} + (4 y)^{3}

Simplify

(6 x)^{3} + 3 (6 x)^{2} \cdot 4 y + 3 \cdot 6 x (4 y)^{2} + (4 y)^{3} : 216 x^{3} + 432 x^{2} y + 288 x y^{2} + 64 y^{3}

= 216 x^{3} + 432 x^{2} y + 288 x y^{2} + 64 y^{3}

x^{4} + x^{2} \cdot y^{2} + y^{4}

4 a^{2} - 9 b^{2} - 2 a - 3 b

3 a^{12} + 1 + 3 a^{6} + a^{18}

(6 + x)^{3}

(a + b)^{3} + 1

What is expand (6x+4y)^3 ?
The solution to expand (6x+4y)^3 is 216x^3+432x^2y+288xy^2+64y^3