SOLUTION: what is x^2-8x+15/x^2-9x+20?

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Question 238545: what is x^2-8x+15/x^2-9x+20?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E2-8x%2B15%29%2F%28x%5E2-9x%2B20%29 Start with the given expression.


%28%28x-3%29%2A%28x-5%29%29%2F%28x%5E2-9x%2B20%29 Factor x%5E2-8x%2B15 to get %28x-3%29%2A%28x-5%29.


%28%28x-3%29%2A%28x-5%29%29%2F%28%28x-4%29%2A%28x-5%29%29 Factor x%5E2-9x%2B20 to get %28x-4%29%2A%28x-5%29.


%28%28x-3%29highlight%28x-5%29%29%2F%28%28x-4%29highlight%28x-5%29%29 Highlight the common terms.


%28%28x-3%29cross%28x-5%29%29%2F%28%28x-4%29cross%28x-5%29%29 Cancel out the common terms.


%28x-3%29%2F%28x-4%29 Simplify.


So %28x%5E2-8x%2B15%29%2F%28x%5E2-9x%2B20%29 simplifies to %28x-3%29%2F%28x-4%29.


In other words, %28x%5E2-8x%2B15%29%2F%28x%5E2-9x%2B20%29=%28x-3%29%2F%28x-4%29