SOLUTION: Simplify by removing factors of 1. 4ab/a^2-b^2 - a-b/a+b I have a feeling this should be really easy, but I've been doing algebra homework most of the weekend and I think I'm

Question 127381: Simplify by removing factors of 1.
4ab/a^2-b^2 - a-b/a+b
I have a feeling this should be really easy, but I've been doing algebra homework most of the weekend and I think I'm just getting confused at this point. I would appreciate anyone that could help me!
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.

.
Factor the denominator of the first term using the rule
.
After you apply this rule the equation becomes:
.

.
Put the second term over the common denominator by multiplying the second term by
to get:
.

.
Since the two terms now have a common denominator, you can combine the two terms by algebraically
adding their numerators and placing the result over the common denominator. This results in:
.

.
Multiply out the product in the numerator to get:
.

.
Get rid of the parentheses in the numerator by changing the signs of all the terms inside
the parenthesis to get:
.

.
Combine the two terms in the numerator that contain "ab" and the problem becomes:
.

.
You can mess around with this a little and get it into various forms such as:
.

.
or
.

.
but these are just various forms of the above answer.
.
Hope this helps you to understand the problem a little better.
.

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