What is (x^2-5x+6)/(x^2-9) ?

The solution to (x^2-5x+6)/(x^2-9) is (x-2)/(x+3)

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simplify (x^2-5x+6)/(x^2-9)

simplify

\frac{x ^{2} - 5 x + 6}{x ^{2} - 9}

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

Solution steps

\frac{x ^{2} - 5 x + 6}{x ^{2} - 9}

Factor

x^{2} - 5 x + 6 : (x - 2) (x - 3)

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

Factor

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

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

Cancel the common factor:

x - 3

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

(57)^{2}

e^{l n (5 x)}

m^{2} + \frac{n ^{2}}{2} mn

\frac{1}{a - 6} \cdot \frac{8 a + 80}{8}

(x + 3) (3 x^{2} + 8 x + 9)