What is (x^2+x-2)/(x^2+2x-3) ?

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

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simplify (x^2+x-2)/(x^2+2x-3)

simplify

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

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

Solution steps

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

Factor

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

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

Factor

x^{2} + 2 x - 3 : (x - 1) (x + 3)

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

Cancel the common factor:

x - 1

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

2 x - \frac{x}{2}

e ln (1)

(4 k)^{3}

2 x + 6 y

5^{2} + 9^{2}

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