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Popular >

expand (x+3y)^2

Solution

expand

(x + 3 y)^{2}

Solution

x^{2} + 6 x y + 9 y^{2}

Solution steps

(x + 3 y)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

x^{2} + 2 x \cdot 3 y + (3 y)^{2} : x^{2} + 6 x y + 9 y^{2}

= x^{2} + 6 x y + 9 y^{2}

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Frequently Asked Questions (FAQ)

What is expand (x+3y)^2 ?
The solution to expand (x+3y)^2 is x^2+6xy+9y^2