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)]

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) (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you started.

A:

Start with the given expression.

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

Combine the fractions.

Combine like terms.

Factor to get .

Highlight the common terms.

Cancel out the common terms.

Simplify.

So simplifies to .

In other words, where

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