SOLUTION: Simplify completely: 5 over t-3 plus -30-5t over t^2+2t-15 subtract t over t+5

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Question 134711: Simplify completely:
5 over t-3 plus -30-5t over t^2+2t-15 subtract t over t+5
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify completely:
5 over t-3 plus -30-5t over t^2+2t-15 subtract t over t+5
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5/(t-3) + (-30-5t)/(t^2+2t-15) - t/(t+5)
lcm = t^2+2t-15
= [5(t+5)]/lcm + (-30-5t)/lcm - [t(t-3)]/lcm
= [5t-25-30-5t-t^2+3t]/lcm
= [-t^2+3t-55]/lcm
= -[t^2-3t+55]/lcm
= -(t^2-3t+55)/(t^2+2t-15)
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Cheers,
Stan H.