What is (x^2-4)/(x^2+x-2) ?

The solution to (x^2-4)/(x^2+x-2) is (x-2)/(x-1)

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simplify (x^2-4)/(x^2+x-2)

simplify

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

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

Solution steps

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

Factor

x^{2} - 4 : (x + 2) (x - 2)

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

Factor

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

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

Cancel the common factor:

x + 2

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

\frac{x ^{3} + x}{x ^{4} - 1}

\frac{7}{10} + \frac{1}{2}

33 + 23

13 - (- 6)

4 n (5 n^{2} - 7 n - 3)