SOLUTION: {{{(2/(y+4))/(3/(y-4)-1/(y^2-16))}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: {{{(2/(y+4))/(3/(y-4)-1/(y^2-16))}}}      Log On


   

Question 315806: %282%2F%28y%2B4%29%29%2F%283%2F%28y-4%29-1%2F%28y%5E2-16%29%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2F%28y%2B4%29%29%2F%283%2F%28y-4%29-1%2F%28y%5E2-16%29%29 Start with the given expression.



%282%2F%28y%2B4%29%29%2F%283%2F%28y-4%29-1%2F%28%28y%2B4%29%28y-4%29%29%29 Factor the last inner denominator.


Take note that the inner LCD is %28y%2B4%29%28y-4%29


Multiply EVERY term by the inner LCD %28y%2B4%29%28y-4%29 to clear out all the inner fractions.


%28%28y-4%292%29%2F%28%28y%2B4%293-1%29 Multiply and simplify


%282%28y-4%29%29%2F%283%28y%2B4%29-1%29 Rearrange the terms.


%282y-8%29%2F%283y%2B12-1%29 Distribute.


%282y-8%29%2F%283y%2B11%29 Combine like terms.


So %282%2F%28y%2B4%29%29%2F%283%2F%28y-4%29-1%2F%28y%5E2-16%29%29=%282y-8%29%2F%283y%2B11%29