SOLUTION: 6x^2-11x-10/2x^2-9x+10

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Question 183233This question is from textbook Intermediate algebra
: 6x^2-11x-10/2x^2-9x+10This question is from textbook Intermediate algebra

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!

%286x%5E2-11x-10%29%2F%282x%5E2-9x%2B10%29 Start with the given expression.


%28%283x%2B2%29%282x-5%29%29%2F%282x%5E2-9x%2B10%29 Factor 6x%5E2-11x-10 to get %283x%2B2%29%282x-5%29.


%28%283x%2B2%29%282x-5%29%29%2F%28%28x-2%29%282x-5%29%29 Factor 2x%5E2-9x%2B10 to get %28x-2%29%282x-5%29.


%28%283x%2B2%29highlight%28%282x-5%29%29%29%2F%28%28x-2%29highlight%28%282x-5%29%29%29 Highlight the common terms.


%28%283x%2B2%29cross%28%282x-5%29%29%29%2F%28%28x-2%29cross%28%282x-5%29%29%29 Cancel out the common terms.


%283x%2B2%29%2F%28x-2%29 Simplify.


So %286x%5E2-11x-10%29%2F%282x%5E2-9x%2B10%29 simplifies to %283x%2B2%29%2F%28x-2%29.


In other words, %286x%5E2-11x-10%29%2F%282x%5E2-9x%2B10%29=%283x%2B2%29%2F%28x-2%29 where x%3C%3E-5%2F2 or x%3C%3E2