SOLUTION: Please help me solve this equation: it is rational for multiplying: (x^2-25)/(x^2-3x-10)*(x-2)/(x) thank you

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Question 290379: Please help me solve this equation:
it is rational for multiplying:
(x^2-25)/(x^2-3x-10)*(x-2)/(x)
thank you
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E2-25%29%2F%28x%5E2-3x-10%29%29%2A%28%28x-2%29%2F%28x%29%29
When multiplying fractions, it is usually best to cancel factors common to the numerator and denominator before actually multiplying. So we'll start by factoring to see if anything will cancel:
%28%28%28x%2B5%29%28x-5%29%29%2F%28%28x%2B2%29%28x-5%29%29%29%2A%28%28x-2%29%2Fx%29
As we can see, the (x-5)'s will cancel:

leaving:
%28%28x%2B5%29%2F%28x%2B2%29%29%2A%28%28x-2%29%2Fx%29
Now we can multiply much simpler expressions giving:
%28x%5E2%2B3x-10%29%2F%28x%5E2%2B2x%29