What is (x-y)^2-(x+y)^2 ?

The solution to (x-y)^2-(x+y)^2 is -4xy

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

simplify

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

- 4 x y

Solution steps

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

Expand

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

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

Expand

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

= x^{2} - 2 x y + y^{2} - x^{2} - 2 x y - y^{2}

Group like terms

= x^{2} - x^{2} - 2 x y - 2 x y + y^{2} - y^{2}

Add similar elements:

x^{2} - x^{2} = 0

= - 2 x y - 2 x y + y^{2} - y^{2}

Add similar elements:

- 2 x y - 2 x y = - 4 x y

= - 4 x y + y^{2} - y^{2}

Add similar elements:

y^{2} - y^{2} = 0

= - 4 x y

3.14 \cdot 1 0^{2}

6 - 48 - 4 - 216

25 a^{4} + 54 a^{2} b^{2} + 49 b^{4}

40 + 25 x

e^{l n (e)}