Thread: Simplifying fractions

This is the problem

Simplify the following equation:
(5x/(2x^2+7x+3))-((x-3)/(2x^2-3x-2))+((2x+1)/(x^2+x-6))

The way i did it was factoring the denominators then adding them, therefore getting common terms where the denominator would be (2x+1)(x+3)(x-2). After that, I don't know what to do next, I'm stumped XD

Would appreciate the help..

Hello, mcroldan08!

Simplify the following expression:

. .

It sounds like your intentions were correct.
But since you didn't show us what you did, we can't tell if you made any errors.

We have: .

You are correct . . . the LCD is: .

And we must convert the fractions to the LCD.



. .

. .

. .

. .

. .

That is actually what I got... however, I was wondering if this can be simplified further. This is actually a multiple choice question and the choices are:

a.) 4/(x+3)
b.) 4/(x-3)
c.) 2/(x-3)
d.) 2/(x+3)

Could it be that the none of the choices are correct?