SOLUTION: Simplify {{{(9t^2+9t)/(45t^2+81t)}}}

Algebra ->  Graphs -> SOLUTION: Simplify {{{(9t^2+9t)/(45t^2+81t)}}}      Log On


   

Question 131917: Simplify %289t%5E2%2B9t%29%2F%2845t%5E2%2B81t%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%289t%5E2%2B9t%29%2F%2845t%5E2%2B81t%29 Start with the given expression

%289t%28t%2B1%29%29%2F%2845t%5E2%2B81t%29 Factor 9t%5E2%2B9t to get 9t%28t%2B1%29

%289t%28t%2B1%29%29%2F%289t%285t%2B9%29%29 Factor 45t%5E2%2B81t to get 9t%285t%2B9%29

%28cross%289t%29%28t%2B1%29%29%2F%28cross%289t%29%285t%2B9%29%29 Cancel like terms


%28t%2B1%29%2F%285t%2B9%29 Simplify


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Answer:
So %289t%5E2%2B9t%29%2F%2845t%5E2%2B81t%29 simplifies to %28t%2B1%29%2F%285t%2B9%29

In other words, %289t%5E2%2B9t%29%2F%2845t%5E2%2B81t%29=%28t%2B1%29%2F%285t%2B9%29