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

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

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

simplify

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

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

Solution steps

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

Factor

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

= \frac{( x + 3 ) ( x - 3 )}{x ^{2} - x - 12}

Factor

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

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

Cancel the common factor:

x + 3

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

6^{2} + 9^{2}

- 27 \div 9

m - 6 m - 12 m + 4 m - 5 m - 2 m + m

(5 x^{4} + y^{5})^{2}