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

Algebra ->  Polynomials-and-rational-expressions -> 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      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E2+-+9x+%2B+20%29+%2F+%286x+-+4%29%29%2F%28%28x%5E2+-+25%29%2F%282x+%2B+10%29%29Start with the given problem




%28%28x-5%29%28x-4%29+%2F+%286x+-+4%29%29%2F%28%28x-5%29%28x%2B5%29%2F%282x+%2B+10%29%29Factor the numerators of the 2 fractions. x%5E2+-+9x+%2B+20 factors to %28x-5%29%28x-4%29 and x%5E2+-+25 factors to %28x-5%29%28x%2B5%29




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




%28%28x-4%29+%2F+%282%283x+-+2%29%29%29%2A%28%282%29%2F1%29%29This is what your left with after the cancellations



%282%28x-4%29+%2F+%282%283x+-+2%29%29%29Combine the 2 fractions by multiplying them





%28cross%282%29%28x-4%29+%2F+%28cross%282%29%283x+-+2%29%29%29Notice the 2's cancel



%28x-4%29%2F%283x-2%29This is the final simplified form.