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Popular >

expand (5x+9y)^2

Solution

expand

(5 x + 9 y)^{2}

Solution

25 x^{2} + 90 x y + 81 y^{2}

Solution steps

(5 x + 9 y)^{2}

Apply Perfect Square Formula:

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

(5 x + 9 y)^{2} = (5 x)^{2} + 2 \cdot 5 x \cdot 9 y + (9 y)^{2}

= (5 x)^{2} + 2 \cdot 5 x \cdot 9 y + (9 y)^{2}

Simplify

(5 x)^{2} + 2 \cdot 5 x \cdot 9 y + (9 y)^{2} : 25 x^{2} + 90 x y + 81 y^{2}

= 25 x^{2} + 90 x y + 81 y^{2}

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Frequently Asked Questions (FAQ)

What is expand (5x+9y)^2 ?
The solution to expand (5x+9y)^2 is 25x^2+90xy+81y^2