SOLUTION: I need some help with this problem,{{{n^2-16}}}/{{{n+4}}}x{{{n+2}}}/{{{n^2-8n+16}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need some help with this problem,{{{n^2-16}}}/{{{n+4}}}x{{{n+2}}}/{{{n^2-8n+16}}}      Log On


   

Question 312843: I need some help with this problem,n%5E2-16/n%2B4xn%2B2/n%5E2-8n%2B16
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
%28n%5E2-16%29%2F%28n%2B4%29%22%B7%22%28n%2B2%29%2F%28n%5E2-8n%2B16%29

Factor the numerator of the left fraction and the denominator of the
right fraction:

%28%0D%0A%0D%0A%28n-4%29%28n%2B4%29%0D%0A%0D%0A%0D%0A%29%2F%28n%2B4%29%22%B7%22%28n%2B2%29%2F%28%0D%0A%0D%0A%0D%0A%28n-4%29%28n-4%29%0D%0A%0D%0A%29

Cancel the %28n%2B4%29 in the numerator on the left into
the %28n%2B4%29 in the denominator of the left fraction:

%28%28n-4%29%28cross%28n%2B4%29%29%29%2F%28cross%28n%2B4%29%29%22%B7%22%28n%2B2%29%2F%28%28n-4%29%28n-4%29%29

Cancel the %28n-4%29 in the numerator on the left into
the %28n-4%29 in the denominator of the right fraction:

%28%28cross%28n-4%29%29%28cross%28n%2B4%29%29%29%2F%28cross%28n%2B4%29%29%22%B7%22%28n%2B2%29%2F%28%28n-4%29%28cross%28n-4%29%29%29

All that's left is

%28n%2B2%29%2F%28n-4%29

Edwin