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

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

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expand (2x+4y)^3

expand

(2 x + 4 y)^{3}

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

Solution steps

(2 x + 4 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

121 x^{2}

- b - 5 b

- 1 - 1

7 x^{2} - 49

(2 x^{4} y^{3})^{4}

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