SOLUTION: How do I Reduce the following expression to its lowest terms? 4u^2-36/u^2-2u-15

Question 60651: How do I Reduce the following expression to its lowest terms?
4u^2-36/u^2-2u-15

Answer by asha(30) (Show Source): You can put this solution on YOUR website!
4u^2-36/u^2-2u-15
Numerator= 4(u^2-9) =4(u-3)(u+3) difference of two squares
Denominator=u^2-5u+3u-15 splitting the middle term such that sum is -2
and product is 15.
=u(u-5)+3(u-5) taking common terms
=(u-5)(u+3)
the sum is 4(u+3)(u-3)/(u-5)(u+3)
cancelling common terms we get the answer
4(u-3)/(u-5)
good luck !!
RELATED QUESTIONS
How do I reduce the following fraction to its lowest terms?... (answered by checkley71)

How do I reduce the following to its lowest form (y2 -... (answered by psbhowmick)

Reduce the following rational expression to it's lowest terms: 20u^5-15t^4u^3/20u^6w... (answered by jim_thompson5910)

Reduce the following expression to lowest terms: x^2 - 9x + 14/5x^2 -... (answered by rapaljer)

reduce the following expression to lowest terms.... (answered by jim_thompson5910)

In class we are adding and subtracting rational expressions with unlike denominators. It... (answered by mananth)

I cant figure this one out. Please help. Reduce the following expression to the lowest... (answered by Alan3354,solver91311)

Reduce expression to lowest terms... (answered by checkley75)

Reduce each expression to lowest terms... (answered by Tuesday)