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}

(4 x - 5) (3 x + 2)

- 2 a^{2} - 15 a + 27

4 a + 3 a + (2 a - 9 a)

1 + x^{- 1}

(2 x - y + 3)^{2}