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

The solution to (x+y)/(x^2-y^2) is 1/(x-y)

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

simplify

\frac{x + y}{x ^{2} - y ^{2}}

\frac{1}{x - y}

Solution steps

\frac{x + y}{x ^{2} - y ^{2}}

Apply Difference of Two Squares Formula:

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

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

= \frac{x + y}{( x + y ) ( x - y )}

Cancel the common factor:

x + y

= \frac{1}{x - y}

17 g + g

(2 x + 3 y) (5 x^{2} + 15 x y - 25 y^{2})

(x + 10) (x - 7)

(3 x^{2} - x) (5 x + 4)

(i^{1069} - 2)^{- 1}