SOLUTION: How do I simplify (15x^2-24x+9) divided by (3x-3)?

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Question 174837: How do I simplify (15x^2-24x+9) divided by (3x-3)?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%2815x%5E2-24x%2B9%29%2F%283x-3%29 Start with the given expression.


%283%285x-3%29%28x-1%29%29%2F%283x-3%29 Factor 15x%5E2-24x%2B9 to get 3%285x-3%29%28x-1%29.


%283%285x-3%29%28x-1%29%29%2F%283%28x-1%29%29 Factor 3x-3 to get 3%28x-1%29.


Highlight the common terms.


%28cross%283%29%285%2Ax-3%29cross%28%28x-1%29%29%29%2F%28cross%283%29cross%28%28x-1%29%29%29 Cancel out the common terms.


5x-3 Simplify.


So %2815x%5E2-24x%2B9%29%2F%283x-3%29 simplifies to 5x-3.


In other words, %2815x%5E2-24x%2B9%29%2F%283x-3%29=5x-3 where x%3C%3E1