What is (x^2-1)/(x^2+7x+6) ?

The solution to (x^2-1)/(x^2+7x+6) is (x-1)/(x+6)

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simplify (x^2-1)/(x^2+7x+6)

simplify

\frac{x ^{2} - 1}{x ^{2} + 7 x + 6}

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

Solution steps

\frac{x ^{2} - 1}{x ^{2} + 7 x + 6}

Factor

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

= \frac{( x + 1 ) ( x - 1 )}{x ^{2} + 7 x + 6}

Factor

x^{2} + 7 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}

7 x^{5}

(3 x - 2) (x + 4)

5 x^{2} - 5 x - 60

z + \frac{1}{z}