SOLUTION: I am supposed to add and simplify if possible: 8t/t^2-25 + t/t-5 Is the answer 9t/5 ?

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Question 236376: I am supposed to add and simplify if possible:
8t/t^2-25 + t/t-5
Is the answer 9t/5 ?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
8t/(t^2-25) + t/(t-5)
8t/[(t-5)(t+5)] + t/(t-5)
8t/[(t-5)(t+5)] + t(t+5)/[(t-5)(t+5)]
8t/[(t-5)(t+5)] + (t^2+5t)/[(t-5)(t+5)]
[8t + (t^2+5t)]/[(t-5)(t+5)]
[t^2+13t]/[(t-5)(t+5)]
[t^2+13t]/[t^2-25]