What is (x^2-x-12)/(x^2-9) ?

The solution to (x^2-x-12)/(x^2-9) is (x-4)/(x-3)

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simplify (x^2-x-12)/(x^2-9)

simplify

\frac{x ^{2} - x - 12}{x ^{2} - 9}

\frac{x - 4}{x - 3}

Solution steps

\frac{x ^{2} - x - 12}{x ^{2} - 9}

Factor

x^{2} - x - 12 : (x + 3) (x - 4)

= \frac{( x + 3 ) ( x - 4 )}{x ^{2} - 9}

Factor

x^{2} - 9 : (x + 3) (x - 3)

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

Cancel the common factor:

x + 3

= \frac{x - 4}{x - 3}

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\frac{1}{a} + \frac{2}{a} + 2

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