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

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

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

simplify

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

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

Solution steps

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

Factor

x^{2} - 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}

220 + 345

(a^{2} + b^{2})^{3}

4 x - [2 y - (5 x - 4 y)]

(22 + 3)^{2}

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