SOLUTION: Could someone please help me solve this expression in simplest form? {{{(3)/(x^2+4x+3)}}}-{{{(1)/(x^2-9)}}} I am having trouble doing the subtractions of equations.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Could someone please help me solve this expression in simplest form? {{{(3)/(x^2+4x+3)}}}-{{{(1)/(x^2-9)}}} I am having trouble doing the subtractions of equations.      Log On


   

Question 93268: Could someone please help me solve this expression in simplest form? %283%29%2F%28x%5E2%2B4x%2B3%29-%281%29%2F%28x%5E2-9%29
I am having trouble doing the subtractions of equations.
Answer by kev82(151) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,

Just like normal fractions, with algebraic fractions you need to have a common denominator. When lookig for one, I suggest factorising as much as you can.

and The lowest common denominator is going to be .

So we have to multiply the first fraction by and mutiply the second one by . This leaves us with:

.

Can you do the subtraction now? Make sure you check your answer by putting some values into it and checking it is what it should be.

Kev