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

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

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

simplify

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

\frac{x + 2}{x + 1}

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x - 1

= \frac{x + 2}{x + 1}

\frac{22}{33}

11 \cdot 6

\frac{a ^{\frac{3}{2}} \cdot a ^{\frac{5}{2}}}{2 a ^{3}}

sec (x) - tan (x) sin (x)

(x - 3) (x + 2)