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

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

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

simplify

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

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

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 1

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

(- 12 + 10 i) - (- 8 + i)

(x + 2) (2 x - 5)

2 lo g_{10} (10) - lo g_{10} (5)

5 y - 5 y^{2} - 5 + 2 + 2 y + 3 y^{2} - 1

\frac{csc ( x )}{1 + cot ^{2} ( x )}