SOLUTION: Help me to divide 3x^2-5x-2/6x^2-3x by -x^2-x+6/2x^2+5x-3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Help me to divide 3x^2-5x-2/6x^2-3x by -x^2-x+6/2x^2+5x-3      Log On


   

Question 530032: Help me to divide 3x^2-5x-2/6x^2-3x by -x^2-x+6/2x^2+5x-3
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%283x%5E2-5x-2%29%2F%286x%5E2-3x%29
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%28-x%5E2-x%2B6%29%2F%282x%5E2%2B5x-3%29
Invert the dividing fraction and multiply
%283x%5E2-5x-2%29%2F%286x%5E2-3x%29 * %282x%5E2%2B5x-3%29%2F%28-x%5E2-x%2B6%29
Factor out -1, changes the signs on the 2nd denominator
%283x%5E2-5x-2%29%2F%286x%5E2-3x%29 * %282x%5E2%2B5x-3%29%2F%28-1%28x%5E2%2Bx-6%29%29
Factor
%28%283x%2B1%29%28x-2%29%29%2F%283x%282x-1%29%29 * %28%282x-1%29%28x%2B3%29%29%2F%28-1%28x%2B3%29%28x-2%29%29
:
Cancel out x+3, x-2, 2x-1
%28%283x%2B1%29%29%2F%283x%29 * -1 = -%28%283x%2B1%29%29%2F%283x%29