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Popular >

expand (3x+9y)^2

Solution

expand

(3 x + 9 y)^{2}

Solution

9 x^{2} + 54 x y + 81 y^{2}

Solution steps

(3 x + 9 y)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(3 x)^{2} + 2 \cdot 3 x \cdot 9 y + (9 y)^{2} : 9 x^{2} + 54 x y + 81 y^{2}

= 9 x^{2} + 54 x y + 81 y^{2}

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Frequently Asked Questions (FAQ)

What is expand (3x+9y)^2 ?
The solution to expand (3x+9y)^2 is 9x^2+54xy+81y^2