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

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

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

simplify

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

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

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 1

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

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

\frac{5}{3} + 5

+ x^{3} - 2 x^{2} - 13 x - 10

2 x \times (- 5)