Question 123047
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.