What is (x^2-5x+6)/(x^2-7x+12) ?

The solution to (x^2-5x+6)/(x^2-7x+12) is (x-2)/(x-4)

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simplify (x^2-5x+6)/(x^2-7x+12)

simplify

\frac{x ^{2} - 5 x + 6}{x ^{2} - 7 x + 12}

\frac{x - 2}{x - 4}

Solution steps

\frac{x ^{2} - 5 x + 6}{x ^{2} - 7 x + 12}

Factor

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

= \frac{( x - 2 ) ( x - 3 )}{x ^{2} - 7 x + 12}

Factor

x^{2} - 7 x + 12 : (x - 3) (x - 4)

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

Cancel the common factor:

x - 3

= \frac{x - 2}{x - 4}

3 \times (- 1)

2 (x + 3)

\frac{25}{8}

2 + (- 5)

\frac{150}{2}

What is (x^2-5x+6)/(x^2-7x+12) ?
The solution to (x^2-5x+6)/(x^2-7x+12) is (x-2)/(x-4)