SOLUTION: I don't understand how to solve this equation and need it explained please: x^2-5x+6 / x-3 ___________ _____ x+2 / x^2-4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I don't understand how to solve this equation and need it explained please: x^2-5x+6 / x-3 ___________ _____ x+2 / x^2-4      Log On


   

Question 304059: I don't understand how to solve this equation and need it explained please:
x^2-5x+6 / x-3
_________________
x+2 / x^2-4
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x^2-5x+6 / x-3
_________________
x+2 / x^2-4
x^2-3x-2x+6 / x-3 / x+2 / (x+2)(x-2)
x(x-3)-2(x-3) /x-3 / x-2
(x-3)(x-2)/(x-3) / (x-2)
=x-2 /x-2
=1
Ananth