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Popular >

expand (2x+y)^3

Solution

expand

(2 x + y)^{3}

Solution

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

Solution steps

(2 x + y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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