SOLUTION: Divide: x^2 - 9x + 20 / 6x - 4 divided by x^2 - 25/2x + 10 I have made several attempts at this all day long, but have managed to confuse and frustrate myself, could someone pl

Question 74898This question is from textbook Intermediate Algebra
: Divide:
x^2 - 9x + 20 / 6x - 4 divided by x^2 - 25/2x + 10
I have made several attempts at this all day long, but have managed to confuse and frustrate myself, could someone please assist me in showing me the proper steps so that I can work my other homework problems?
S. Milliron This question is from textbook Intermediate Algebra

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given problem

Factor the numerators of the 2 fractions. factors to and factors to

Factor out a 2 from the 2 denominators

Multiply the 2 fractions by multiplying the 1st fraction by the reciprocal of the 2nd fraction

Cancel like terms

This is what your left with after the cancellations

Combine the 2 fractions by multiplying them

Notice the 2's cancel

This is the final simplified form.
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