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Popular >

simplify (x+y)^2-(a-b)^2

Solution

simplify

(x + y)^{2} - (a - b)^{2}

Solution

x^{2} + 2 x y + y^{2} - a^{2} + 2 ab - b^{2}

Solution steps

(x + y)^{2} - (a - b)^{2}

(x + y)^{2} : x^{2} + 2 x y + y^{2}

= x^{2} + 2 x y + y^{2} - (a - b)^{2}

(a - b)^{2} : a^{2} - 2 ab + b^{2}

= x^{2} + 2 x y + y^{2} - (a^{2} - 2 ab + b^{2})

- (a^{2} - 2 ab + b^{2}) : - a^{2} + 2 ab - b^{2}

= x^{2} + 2 x y + y^{2} - a^{2} + 2 ab - b^{2}

Popular Examples

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2 x + 12 x^{16}

Frequently Asked Questions (FAQ)

What is (x+y)^2-(a-b)^2 ?
The solution to (x+y)^2-(a-b)^2 is x^2+2xy+y^2-a^2+2ab-b^2