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

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

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expand (4x+6y)^3

expand

(4 x + 6 y)^{3}

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

Solution steps

(4 x + 6 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

\frac{2 x 1 0 ^{21}}{1 0 ^{- 2}}

\frac{1}{( 2 x )} - \frac{1}{( 2 ^{\frac{3}{2}} )}

a (a + 1) (a + 2) (a + 3) - 15

3 \frac{x ^{2}}{x} + \frac{2}{6} \frac{x ^{4}}{( x ^{2} + 5 x + 6 )}

x^{4} - 17 x^{2} y^{2} - 84 y^{4}

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