SOLUTION: 8/2a-2b - 3b/a^2-b^2 HELP PLEASE!

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Question 95081: 8/2a-2b - 3b/a^2-b^2

HELP PLEASE!
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
Please use parenthesis to indicate the grouping of the terms:
Such as: 8/(2a-2b) - 3b/(a^2-b^2)
.
%288%2F%282%29%28a-b%29+-+3b%2F%28a-b%29%28a%2Bb%29%29%29 [factor wherever possible]
.

[multiply each term by the lowest common denominator (LCD): (2)(a-b)(a+b)
.
%28%288%29%28a%2Bb%29+-+%283b%29%282%29%29%29 [cancel wherever possible and place the terms over the LCD]
.
%28%28%288%29%28a%2Bb%29+-+%283b%29%282%29%29%2F%282%29%28a-b%29%28a%2Bb%29%29%29 [place the entire expression over the LDC
.
%28%28%288a%2B8b-6b%29%29%2F%282%29%28a-b%29%28a%2Bb%29%29%29 [simplify]
.
%28%28%288a%2B2b%29%29%2F%282%29%28a-b%29%28a%2Bb%29%29%29
.
%28%28%282%29%284a%2Bb%29%29%2F%282%29%28a-b%29%28a%2Bb%29%29%29 [try to factor again or try to simplify as much as possible]
.
%28%28%284a%2Bb%29%29%2F%28a-b%29%28a%2Bb%29%29%29 [cancel out if possibly]
.
%28%28%284a%2Bb%29%29%2F%28a%5E2-b%5E2%29%29%29