SOLUTION: (b^2-4bc+3c^2)/(b^2-8bc+15c^2) x (b^2+9bc+18c^2)/(b^2+5bc-6c^2) This is for the EOC review. I have let my mother look at it, and she used to be a high school math teacher, and

Algebra ->  Rational-functions -> SOLUTION: (b^2-4bc+3c^2)/(b^2-8bc+15c^2) x (b^2+9bc+18c^2)/(b^2+5bc-6c^2) This is for the EOC review. I have let my mother look at it, and she used to be a high school math teacher, and       Log On


   



Question 119043: (b^2-4bc+3c^2)/(b^2-8bc+15c^2) x (b^2+9bc+18c^2)/(b^2+5bc-6c^2)
This is for the EOC review. I have let my mother look at it, and she used to be a high school math teacher, and she is confused by it. I have thought about as much as possible, looked it up in my notes, and I can't find anything about how to solve it.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given expression

Factor b%5E2-4bc%2B3c%5E2 to get %28b-3c%29%28b-c%29

Factor b%5E2-8bc%2B15c%5E2 to get %28b-5c%29%28b-3c%29

Factor b%5E2%2B9bc%2B18c%5E2 to get %28b%2B6c%29%28b%2B3c%29

Factor b%5E2%2B5bc-6c%5E2 to get %28b%2B6c%29%28b-c%29


%28b-3c%29%28b-c%29%28b%2B6c%29%28b%2B3c%29%2F%28b-5c%29%28b-3c%29%28b%2B6c%29%28b-c%29 Combine the fractions


Cancel like terms


%28b%2B3c%29%2F%28b-5c%29 Simplify


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Answer:

So simplifies to %28b%2B3c%29%2F%28b-5c%29. In other words