What is (a-b)/(a^2-b^2) ?

The solution to (a-b)/(a^2-b^2) is 1/(a+b)

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simplify (a-b)/(a^2-b^2)

simplify

\frac{a - b}{a ^{2} - b ^{2}}

\frac{1}{a + b}

Solution steps

\frac{a - b}{a ^{2} - b ^{2}}

Apply Difference of Two Squares Formula:

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

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

= \frac{a - b}{( a + b ) ( a - b )}

Cancel the common factor:

a - b

= \frac{1}{a + b}

- 4 + - 48 + 121 - - 108

r^{2} + 4 r + 4

9 \frac{3}{4}

\frac{x ^{\frac{2}{3}}}{x}

2 x^{2} - 6 x + 3 - 8 x^{2} - 12 x + 5