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Popular >

expand (x+2y)^3

Solution

expand

(x + 2 y)^{3}

Solution

x^{3} + 6 x^{2} y + 12 x y^{2} + 8 y^{3}

Solution steps

(x + 2 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

x^{3} + 3 x^{2} \cdot 2 y + 3 x (2 y)^{2} + (2 y)^{3} : x^{3} + 6 x^{2} y + 12 x y^{2} + 8 y^{3}

= x^{3} + 6 x^{2} y + 12 x y^{2} + 8 y^{3}

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Frequently Asked Questions (FAQ)

What is expand (x+2y)^3 ?
The solution to expand (x+2y)^3 is x^3+6x^2y+12xy^2+8y^3