SOLUTION: Add or Subtract the fractions. Express the answer in simplest form: A: [(3b-8)/(b-6)]+[(b-16)/(b-6)] B: [(5a-12)/(a^2-8a+15)]-[(3a-2)/(a^2-8a+15)]

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Add or Subtract the fractions. Express the answer in simplest form: A: [(3b-8)/(b-6)]+[(b-16)/(b-6)] B: [(5a-12)/(a^2-8a+15)]-[(3a-2)/(a^2-8a+15)]      Log On


   

Question 147263: Add or Subtract the fractions. Express the answer in simplest form:
A: [(3b-8)/(b-6)]+[(b-16)/(b-6)]
B: [(5a-12)/(a^2-8a+15)]-[(3a-2)/(a^2-8a+15)]
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started.

A:


%283b-8%29%2F%28b-6%29%2B%28b-16%29%2F%28b-6%29 Start with the given expression.


Since the denominators are the same, we can combine the numerators over the common denominator:


%283b-8%2Bb-16%29%2F%28b-6%29 Combine the fractions.


%284b-24%29%2F%28b-6%29 Combine like terms.


%284%28b-6%29%29%2F%28b-6%29 Factor 4b-24 to get 4%28b-6%29.


%284highlight%28%28b-6%29%29%29%2F%28highlight%28b-6%29%29 Highlight the common terms.


%284cross%28%28b-6%29%29%29%2F%28cross%28b-6%29%29 Cancel out the common terms.


4 Simplify.


So %283b-8%29%2F%28b-6%29%2B%28b-16%29%2F%28b-6%29 simplifies to 4.


In other words, %283b-8%29%2F%28b-6%29%2B%28b-16%29%2F%28b-6%29=4 where b%3C%3E6