SOLUTION: (6v^2/(5v^2-10v-15))*(5v-15)/2v

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Question 251458: (6v^2/(5v^2-10v-15))*(5v-15)/2v
Answer by PRMath(133) About Me  (Show Source):
You can put this solution on YOUR website!
(6v^2/(5v^2-10v-15))*(5v-15)/2v

6v%5E2/5v%5E2-10v-15 * 5v-15/2v (original equation)


6v%5E2%29/5%28v%5E2+-+2v+-3%29 * 5%28v+-+3%29/2v (factored denominator in first equation by dividing 5. Also factored numerator of 2nd equation by dividing 5)


6v%5E2/5%28v+-+3%29%28v%2B1%29 * 5%28v+-+3%29/2v (factored the denominator of the first equation even further)


Now that you have factored everything, you can begin to cancel factors.

The 5%28v+-+3%29 in the numerator will cancel the 5%28v+-+3%29 in the denominator.

The 6v%5E2 in the numerator and the 2v in the denominator will reduce to: 3v.

Our final answer is: 3v/v+%2B+1

If you look at my youtube videos at this site,


(www.youtube.com/user/PRMathChicago)


you will see a few more examples of problems like these, k? :-) The explanations are a little better with words spoken. :-) You'll have to click on "See all" to see all the videos, but there are problems just like this at the site).

I hope this helps you. :-)