(x^2-5x+6) / (x-2)
Factor the expressions to set out the equation
(x-3) (x-2) / (x-2)
Cancel out (x-2) in both the denominator and the numerator (i.e. on both sides of the equation so it balances out).
**Remember: What we do to one side of an equation, we must always do the exact same to the other side of the equation as well!**
= x-3
This is your final answer! :)