What is (x^2+7x+6)/(x^2-5x-6) ?

The solution to (x^2+7x+6)/(x^2-5x-6) is (x+6)/(x-6)

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simplify (x^2+7x+6)/(x^2-5x-6)

simplify

\frac{x ^{2} + 7 x + 6}{x ^{2} - 5 x - 6}

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

Solution steps

\frac{x ^{2} + 7 x + 6}{x ^{2} - 5 x - 6}

Factor

x^{2} + 7 x + 6 : (x + 1) (x + 6)

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

Factor

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

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

Cancel the common factor:

x + 1

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

(- 2) (- 2) (- 2) (- 2)

11 - (- 1)

(6 + 8 i) (4 + 2 i)

(- 5 x^{2} + 7 x + 2) - (- 5 x^{2} - 7 x + 2)

(- 6 + 6 i) (- 1 + 5 i)

What is (x^2+7x+6)/(x^2-5x-6) ?
The solution to (x^2+7x+6)/(x^2-5x-6) is (x+6)/(x-6)