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Popular >

expand (x+3y)^3

Solution

expand

(x + 3 y)^{3}

Solution

x^{3} + 9 x^{2} y + 27 x y^{2} + 27 y^{3}

Solution steps

(x + 3 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

x^{3} + 3 x^{2} \cdot 3 y + 3 x (3 y)^{2} + (3 y)^{3} : x^{3} + 9 x^{2} y + 27 x y^{2} + 27 y^{3}

= x^{3} + 9 x^{2} y + 27 x y^{2} + 27 y^{3}

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Frequently Asked Questions (FAQ)

What is expand (x+3y)^3 ?
The solution to expand (x+3y)^3 is x^3+9x^2y+27xy^2+27y^3