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

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

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

simplify

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

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

Solution steps

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

Factor

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

= \frac{( x - 2 ) ( x + 3 )}{x ^{2} - 5 x + 6}

Factor

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

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

Cancel the common factor:

x - 2

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

sin^{2} (x) csc^{2} (x)

(3 m^{4} - m^{2} + 1) (m^{2} - 3 m + 4)

\frac{9 ( x ^{2} ) ^{3}}{3 x y ^{2}}

ln (2) + ln (4)

∣ z - 1 - 3 i ∣^{2}

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