SOLUTION: Desperate for help, I understand how to start but I am getting very confused the answer I arrived at was 4y- 39/(y+6)(y-6), but I don't think it's right, please help!!! Perform

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Desperate for help, I understand how to start but I am getting very confused the answer I arrived at was 4y- 39/(y+6)(y-6), but I don't think it's right, please help!!! Perform       Log On


   

Question 242743: Desperate for help, I understand how to start but I am getting very confused the answer I arrived at was 4y- 39/(y+6)(y-6), but I don't think it's right, please help!!!
Perform the indicated operations and simplify:
y-3/y-6-y+1/y+6+y-42/y^2-36
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28y-3%29%2F%28y-6%29-%28y%2B1%29%2F%28y%2B6%29%2B%28y-42%29%2F%28y%5E2-36%29 Start with the given expression.


%28y-3%29%2F%28y-6%29-%28y%2B1%29%2F%28y%2B6%29%2B%28y-42%29%2F%28%28y-6%29%28y%2B6%29%29 Factor the last denominator.


Take note that the LCD is %28y-6%29%28y%2B6%29


Multiply the first fraction by %28y%2B6%29%2F%28y%2B6%29 to get that denominator equal to the LCD.


Multiply the second fraction by %28y-6%29%2F%28y-6%29 to get that denominator equal to the LCD.


FOIL.


%28y%5E2%2B3y-18-%28y%5E2-5y-6%29%2B%28y-42%29%29%2F%28%28y-6%29%28y%2B6%29%29 Combine the fractions.


%28y%5E2%2B3y-18-y%5E2%2B5y%2B6%2By-42%29%2F%28%28y-6%29%28y%2B6%29%29 Distribute.


%289y-54%29%2F%28%28y-6%29%28y%2B6%29%29 Combine like terms.


%289%28y-6%29%29%2F%28%28y-6%29%28y%2B6%29%29 Factor the numerator.


%289cross%28%28y-6%29%29%29%2F%28cross%28%28y-6%29%29%28y%2B6%29%29 Cancel out the common terms.


9%2F%28y%2B6%29 Simplify.


So where y%3C%3E-6 or y%3C%3E6