SOLUTION: how do you solve x^2+5x+4/(x+3)^2 divided by x+1/x^2-9

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Question 174080: how do you solve x^2+5x+4/(x+3)^2 divided by x+1/x^2-9
Answer by solver91311(12126) About Me  (Show Source):
You can put this solution on YOUR website!
In the first place, you aren't really 'solving' anything; you are merely simplifying a complex expression. Simplification steps as follows:

Step 1: Factor the numerator and denominator of the dividend fraction.

Step 2: Factor the denominator of the divisor fraction. Hint: Difference of two squares.

Step 3: Invert the divisor fraction and multiply.

Step 4: Eliminate factors common to both numerator and denominator.

Step 5: Multiply the resulting binomials in the numerator using FOIL.