subtract the fraction and reduce (x/(x^2-5x+6)) - (2/(x^2-4))

Question

anonymous · Answer

Can you factorize this one:
x^2-5x+6 = ...?

anonymous · Answer

(x-3) (x-2) and (x+2)(x-2)

anonymous · Answer

and i know you need like terms

anonymous · Answer

Great, so now you will have the common denominator is ( x+3) (x+2) ( x-2)
Can you continue?

anonymous · Answer

Actually 
x^2-5x+6 = (x-3) (x+ 2)

anonymous · Answer

oh okay

anonymous · Answer

i got an answer but apparently it was wrong i was hoping you could work it out so i could see where i went wrong.... my answer was

anonymous · Answer

Oop, hold on!

anonymous · Answer

Since common denominator is ( x-3) (x+2) ( x-2): 
x (x-2) = x² - 2x
2 ( x-3) = 2x - 6 
Subtract them: 
-> (x² - 4x+ 6 ) / ( x-3) (x+2) ( x-2):

anonymous · Answer

and you can't factor the to[ right

anonymous · Answer

top****

anonymous · Answer

That's final result!

anonymous · Answer

okay thank you

anonymous · Answer

So do you know where you're confused?

anonymous · Answer

yea i tryed to factor out the top and you can't do that thats why i go tit wrong

anonymous · Answer

Because the top has Δ < 0, and the question doesn't mention about imaginary solution!