SOLUTION: How would you multiply and express product in simplest form? x^2+5x+4/(x+3)^2 divided by x+1/x^2-9

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Question 123047: How would you multiply and express product in simplest form?
x^2+5x+4/(x+3)^2 divided by x+1/x^2-9
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
multiply and express product in simplest form?
[x^2+5x+4/(x+3)^2] divided by [x+1/x^2-9]
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Invert the denominator and multiply:
= [x^2+5x+4/(x+3)^2] * [x^2-9/x+1]
Factor to get:
= [(x+4)(x+1)/(x+3)^2] * [(x-3)(x+3)/(x+1)]
Can factors common to a numerator and a denominator to get:
= [(x+4)/(x+3)] * [(x-3)/1]
= [(x+4)(x-3)/(x+3)]
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Cheers,
Stan H.