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

- 4 x + 3 < - 9

823500 (1 - 0.26)^{1}

0.5 x^{2} + 1 \leq 4 ∣ x ∣

\frac{1}{4} (1 - 3 x) = - 2

m^{2} - n^{2}