SOLUTION: how do you do this? simplify (all positive exponents) {{{(3x^2-3xy)/(3x^2+3xy)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: how do you do this? simplify (all positive exponents) {{{(3x^2-3xy)/(3x^2+3xy)}}}       Log On


   

Question 134165: how do you do this?
simplify (all positive exponents)
%283x%5E2-3xy%29%2F%283x%5E2%2B3xy%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283x%5E2-3xy%29%2F%283x%5E2%2B3xy%29 Start with the given expression


%283x%28x-y%29%29%2F%283x%5E2%2B3xy%29 Factor 3x%5E2-3xy to get 3x%28x-y%29


%283x%28x-y%29%29%2F%283x%28x%2By%29%29 Factor 3x%5E2%2B3xy to get 3x%28x%2By%29


%28cross%283x%29%28x-y%29%29%2F%28cross%283x%29%28x%2By%29%29 Cancel like terms


%28x-y%29%2F%28x%2By%29 Simplify


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Answer:

So %283x%5E2-3xy%29%2F%283x%5E2%2B3xy%29 simplifies to %28x-y%29%2F%28x%2By%29. In other words %283x%5E2-3xy%29%2F%283x%5E2%2B3xy%29=%28x-y%29%2F%28x%2By%29 where x%3C%3E0