Question

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

Answer 1

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

Answer 2

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

Answer 3

and i know you need like terms

Answer 4

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

Answer 5

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

Answer 6

oh okay

Answer 7

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

Answer 8

Oop, hold on!

Answer 9

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):

Answer 10

and you can't factor the to[ right

Answer 11

top****

Answer 12

That's final result!

Answer 13

okay thank you

Answer 14

So do you know where you're confused?

Answer 15

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

Answer 16

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