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

The solution to (x^2+x-2)/(x^2+5x+6) is (x-1)/(x+3)

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

simplify

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

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

Solution steps

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

Factor

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

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

Factor

x^{2} + 5 x + 6 : (x + 2) (x + 3)

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

Cancel the common factor:

x + 2

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

- 180 + 45

\frac{2 x ^{4} - x ^{3} + 7 x - 3}{2 x + 3}

- x^{2} + 12 x - 32

2 x^{3} + x^{2} - 14 x - 7

3^{2 - 1}

What is (x^2+x-2)/(x^2+5x+6) ?
The solution to (x^2+x-2)/(x^2+5x+6) is (x-1)/(x+3)