SOLUTION: reduce to lowet terms 2t^2+22t+56/t^2+2t-35

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Question 96015: reduce to lowet terms
2t^2+22t+56/t^2+2t-35
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282t%5E2%2B22t%2B56%29%2F%28t%5E2%2B2t-35%29 Start with the given expression


%28%282t%2B14%29%28t%2B4%29%29%2F%28t%5E2%2B2t-35%29 Factor 2t%5E2%2B22t%2B56 to get %282t%2B14%29%28t%2B4%29 (note: if you need help with factoring, check out this solver)

%28%282t%2B14%29%28t%2B4%29%29%2F%28%28t%2B7%29%28t-5%29%29 Factor t%5E2%2B2t-35 to get %28t%2B7%29%28t-5%29

%282%28t%2B7%29%28t%2B4%29%29%2F%28%28t%2B7%29%28t-5%29%29 Factor out the GCF

%282%2Across%28%28t%2B7%29%29%28t%2B4%29%29%2F%28cross%28%28t%2B7%29%29%28t-5%29%29 Cancel like terms

2%28t%2B4%29%2F%28t-5%29 Simplify