SOLUTION: Add or subtract as indicated. Express your result in simplest form. (2)/(3b-6)+(3)/(4b+8)

Algebra ->  Expressions-with-variables -> SOLUTION: Add or subtract as indicated. Express your result in simplest form. (2)/(3b-6)+(3)/(4b+8)      Log On


   

Question 107277: Add or subtract as indicated. Express your result in simplest form.
(2)/(3b-6)+(3)/(4b+8)
Answer by Annabelle1(69) About Me  (Show Source):
You can put this solution on YOUR website!
we need to factorse what we can first.
3b-6=3(b-2)
4b+8=4(b+2)
s0 we have:
2%2F%283%28b-2%29%29%2B3%2F%284%28b%2B2%29%29
we need a common denominator when we add fractions so we mulitply the first fraction by 4(b+2) and the second fraction by 3(b-2)
we get

then we can add so we have
%288%28b%2B2%29%2B9%28b-2%29%29%2F%2812%2A%28b%2B2%29%2A%28b-2%29%29
expand and simplify the numerator but leave the denominator in the current form