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

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

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

simplify

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

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

Solution steps

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

Factor

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

= \frac{( x + 1 ) ( x - 2 )}{x ^{2} - 4}

Factor

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

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

Cancel the common factor:

x - 2

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

\frac{b ^{7}}{b ^{3}}

lo g_{\frac{1}{3}} (8)

\frac{1}{4} x^{4}

\frac{8}{7} - \frac{9}{11}

⌊ \frac{1}{2} ⌋