What is (x^2-9)/(x^2-8x+15) ?

The solution to (x^2-9)/(x^2-8x+15) is (x+3)/(x-5)

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simplify (x^2-9)/(x^2-8x+15)

simplify

\frac{x ^{2} - 9}{x ^{2} - 8 x + 15}

\frac{x + 3}{x - 5}

Solution steps

\frac{x ^{2} - 9}{x ^{2} - 8 x + 15}

Factor

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

= \frac{( x + 3 ) ( x - 3 )}{x ^{2} - 8 x + 15}

Factor

x^{2} - 8 x + 15 : (x - 3) (x - 5)

= \frac{( x + 3 ) ( x - 3 )}{( x - 3 ) ( x - 5 )}

Cancel the common factor:

x - 3

= \frac{x + 3}{x - 5}

\frac{12 x y ^{7}}{4 x ^{3} y ^{8}}

(2 x - 3) (x - 2)

5 (- 5)

\frac{36}{4}

15 x - 15 x - 5 x

What is (x^2-9)/(x^2-8x+15) ?
The solution to (x^2-9)/(x^2-8x+15) is (x+3)/(x-5)