SOLUTION: So this lesson is simplifying radical fractions and i can understand the simple ones obviously, but these just seem way too hard, i would try to show what i tried but i dont even k

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Question 282102: So this lesson is simplifying radical fractions and i can understand the simple ones obviously, but these just seem way too hard, i would try to show what i tried but i dont even know where to start. My teacher said to start by making a common denominator, and she told us the common denominator would be n(n+1). Sorry if you cant read it easily, but i tried.
Heres one of the hard ones i cant solve:
n+5-12/n+1
---------- <- that is a fraction bar
n+9/n+1-5/n
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


My advice to you: Start using parentheses -- lots of parentheses. I think you were trying to render:



I'll proceed on that assumption:

The LCD in the denominator is indeed . The LCD in the numerator is simply . So, first apply the LCDs:



Distribute to eliminate parentheses:



Collect like terms:



Factor the two trinomials:



Invert and multiply:



Eliminate factors common to both numerator and denominator:





Remember to exclude any value that would cause any denominator to equal zero during the entire process. Hence the following values are excluded:

, , , and


John