What is (x^2-5x+6)/(x^2-8x+15) ?

The solution to (x^2-5x+6)/(x^2-8x+15) is (x-2)/(x-5)

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simplify (x^2-5x+6)/(x^2-8x+15)

simplify

\frac{x ^{2} - 5 x + 6}{x ^{2} - 8 x + 15}

\frac{x - 2}{x - 5}

Solution steps

\frac{x ^{2} - 5 x + 6}{x ^{2} - 8 x + 15}

Factor

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

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

Factor

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

= \frac{( x - 2 ) ( x - 3 )}{( x - 3 ) ( x - 5 )}

Cancel the common factor:

x - 3

= \frac{x - 2}{x - 5}

3^{3} \cdot 3^{5}

5 (\frac{1}{5})

- 7 - 63

\frac{2}{10} + \frac{3}{5}

- x 8 x - 6 8 x^{3}

What is (x^2-5x+6)/(x^2-8x+15) ?
The solution to (x^2-5x+6)/(x^2-8x+15) is (x-2)/(x-5)