SOLUTION: ((x^2-6x+8)/(x^2-2x))/(3x-12) How do you know when to simplify and divide the polynomials, and when to do long division? And the, which do you do first, the sipmlifying or the div

Question 32802This question is from textbook Heath Algebra 1 An Integrated Approach
: ((x^2-6x+8)/(x^2-2x))/(3x-12)
How do you know when to simplify and divide the polynomials, and when to do long division? And the, which do you do first, the sipmlifying or the dividing? Truthfully I think i need help with the over all Algebra subject, because i'm doing so well in that class.
Thank you,
J.A. This question is from textbook Heath Algebra 1 An Integrated Approach

Answer by askmemath(368) (Show Source): You can put this solution on YOUR website!

First we begin by simplifying

Then we take X common and we get X(X-2)
Similarly for 3X-12 we take 3 common and we get 3(X-4)
Now we know that
So you get

Cancelling the common terms you get as your final answer
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