Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 152481: How do you Divide this rational expression: x^2-9/4x+12(Divided by)x-3/6? I dont understannd this at all. Whats the answer?: How do you Divide this rational expression: x^2-9/4x+12(Divided by)x-3/6? I dont understannd this at all. Whats the answer?
Answer by Earlsdon(3748) About Me  (Show Source):
You can put this solution on YOUR website!
Divide:
(x^2-9)/(4x+12)divided by(x-3)/6Do the first fraction by factoring the numerator and the denominator:
(x^2-9)/(4x+12) = (x-3)cross((x+3))/(4cross((x+3))) Cancel the indicated factors to leave you with:
(x-3)/4 Now divide by the second fraction, but remember to change to multiplication and invert the second fraction.
(cross((x-3))/4)*(6/cross((x-3))) Cancel the indicated factors to leave you with:
6/4 Finally, reduce this fraction to its lowest terms.
3/2