What is expand (4x+2y)^3 ?

The solution to expand (4x+2y)^3 is 64x^3+96x^2y+48xy^2+8y^3

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expand (4x+2y)^3

expand

(4 x + 2 y)^{3}

64 x^{3} + 96 x^{2} y + 48 x y^{2} + 8 y^{3}

Solution steps

(4 x + 2 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(4 x)^{3} + 3 (4 x)^{2} \cdot 2 y + 3 \cdot 4 x (2 y)^{2} + (2 y)^{3} : 64 x^{3} + 96 x^{2} y + 48 x y^{2} + 8 y^{3}

= 64 x^{3} + 96 x^{2} y + 48 x y^{2} + 8 y^{3}

12 + 600 lo g_{5} (8)

sin (\frac{1}{2} x)

\frac{90}{270}

\frac{39}{60}

(n + 8) (n - 2)

What is expand (4x+2y)^3 ?
The solution to expand (4x+2y)^3 is 64x^3+96x^2y+48xy^2+8y^3