What is (x^2-x-2)/(x^2-1) ?

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

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simplify (x^2-x-2)/(x^2-1)

simplify

\frac{x ^{2} - x - 2}{x ^{2} - 1}

\frac{x - 2}{x - 1}

Solution steps

\frac{x ^{2} - x - 2}{x ^{2} - 1}

Factor

x^{2} - x - 2 : (x + 1) (x - 2)

= \frac{( x + 1 ) ( x - 2 )}{x ^{2} - 1}

Factor

x^{2} - 1 : (x + 1) (x - 1)

= \frac{( x + 1 ) ( x - 2 )}{( x + 1 ) ( x - 1 )}

Cancel the common factor:

x + 1

= \frac{x - 2}{x - 1}

5 \times 5

\frac{5}{x + 6} - \frac{3}{x ^{2} + 2 x - 24}

\frac{42}{14}

\frac{4 x - 24}{x ^{2} - 36}

112 a^{6}