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

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

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

simplify

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

x - 3

Solution steps

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

Factor

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

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

Cancel the common factor:

x - 2

= x - 3

\frac{5}{8} + \frac{1}{6}

\frac{2 7}{3 7}

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

(x - 9) (x - 7)

(2 x - 7) (- 2 x - 7)