SOLUTION: {{{(5x^2-45)/(x^2+6x+9)}}} I already know the answer as {{{(5x-15)/(x+3)}}}. However, I would enjoy knowing how to do it. XD I don't quite recall the process, and can't figure out

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: {{{(5x^2-45)/(x^2+6x+9)}}} I already know the answer as {{{(5x-15)/(x+3)}}}. However, I would enjoy knowing how to do it. XD I don't quite recall the process, and can't figure out      Log On


   

Question 425764: %285x%5E2-45%29%2F%28x%5E2%2B6x%2B9%29 I already know the answer as %285x-15%29%2F%28x%2B3%29.
However, I would enjoy knowing how to do it. XD I don't quite recall the process, and can't figure out where I have to divide, and what. I would appreciate it if you would start from the beginning and explain how to work the problem. I greatly appreciate it, and look forward to your reply.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(5x^2-45)/(x^2+6x+9)
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Factor:
[5(x^2-9)]/[(x+3)^2]
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Factor:
[5(x-3)(x+3)]/[(x+3)^2
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Cancel (x+3) in numerator and denominator to get:
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[5(x-3)]/(x+3)
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Cheers,
stan H.