What is (x^2-x-6)/(x^2-4) ?

The solution to (x^2-x-6)/(x^2-4) is (x-3)/(x-2)

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simplify (x^2-x-6)/(x^2-4)

simplify

\frac{x ^{2} - x - 6}{x ^{2} - 4}

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

Solution steps

\frac{x ^{2} - x - 6}{x ^{2} - 4}

Factor

x^{2} - x - 6 : (x + 2) (x - 3)

= \frac{( x + 2 ) ( x - 3 )}{x ^{2} - 4}

Factor

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

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

Cancel the common factor:

x + 2

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

\frac{45}{60}

80 0^{2} + 60 0^{2}

n^{2} + 3 n - 70

7^{3} \cdot 7^{2}

(1 2^{2})^{3}