What is (x^2-1)/(x^2-5x-6) ?

The solution to (x^2-1)/(x^2-5x-6) is (x-1)/(x-6)

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simplify (x^2-1)/(x^2-5x-6)

simplify

\frac{x ^{2} - 1}{x ^{2} - 5 x - 6}

\frac{x - 1}{x - 6}

Solution steps

\frac{x ^{2} - 1}{x ^{2} - 5 x - 6}

Factor

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

= \frac{( x + 1 ) ( x - 1 )}{x ^{2} - 5 x - 6}

Factor

x^{2} - 5 x - 6 : (x + 1) (x - 6)

= \frac{( x + 1 ) ( x - 1 )}{( x + 1 ) ( x - 6 )}

Cancel the common factor:

x + 1

= \frac{x - 1}{x - 6}

\frac{1}{x ^{- 4}}

(3 x) (x)

(3 s + 2)^{5}

\frac{3}{x} + \frac{4}{x ^{2}}

\frac{39}{5}