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

The solution to (x^2+x-6)/(x^2-x-2) is (x+3)/(x+1)

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

simplify

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

\frac{x + 3}{x + 1}

Solution steps

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

Factor

x^{2} + x - 6 : (x - 2) (x + 3)

= \frac{( x - 2 ) ( x + 3 )}{x ^{2} - x - 2}

Factor

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

= \frac{( x - 2 ) ( x + 3 )}{( x + 1 ) ( x - 2 )}

Cancel the common factor:

x - 2

= \frac{x + 3}{x + 1}

\frac{5}{30}

ln (\frac{1}{e ^{x}})

(2^{3})^{7}

8 + (- 7)

(x^{3} + 7) (x^{3} - 6)

What is (x^2+x-6)/(x^2-x-2) ?
The solution to (x^2+x-6)/(x^2-x-2) is (x+3)/(x+1)