SOLUTION: The problem states to perform the indicated operation: 4p^2-4pq/p^2-q^2 - 4p-3q/p+q I have solved other problems like these but I cannot figure out the answer to this one. I nev

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The problem states to perform the indicated operation: 4p^2-4pq/p^2-q^2 - 4p-3q/p+q I have solved other problems like these but I cannot figure out the answer to this one. I nev      Log On


   

Question 581668: The problem states to perform the indicated operation:
4p^2-4pq/p^2-q^2 - 4p-3q/p+q
I have solved other problems like these but I cannot figure out the answer to this one. I never get the answer in the back of the book!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%284p%5E2-4pq%29%2F%28p%5E2-q%5E2%29+-+%284p-3q%29%2F%28p%2Bq%29

%284p%5E2-4pq%29%2F%28%28p%2Bq%29%28p-q%29%29+-+%284p-3q%29%2F%28p%2Bq%29







%284p%5E2-4pq-%284p%5E2-7pq%2B3q%5E2%29%29%2F%28%28p%2Bq%29%28p-q%29%29

%284p%5E2-4pq-4p%5E2%2B7pq-3q%5E2%29%2F%28%28p%2Bq%29%28p-q%29%29

%283pq-3q%5E2%29%2F%28%28p%2Bq%29%28p-q%29%29

%283q%28p-q%29%29%2F%28%28p%2Bq%29%28p-q%29%29

%283q%2Ahighlight%28%28p-q%29%29%29%2F%28%28p%2Bq%29%2Ahighlight%28%28p-q%29%29%29

%283q%2Across%28%28p-q%29%29%29%2F%28%28p%2Bq%29%2Across%28%28p-q%29%29%29

%283q%29%2F%28p%2Bq%29


So %284p%5E2-4pq%29%2F%28p%5E2-q%5E2%29+-+%284p-3q%29%2F%28p%2Bq%29 completely simplifies to %283q%29%2F%28p%2Bq%29


In other words, %284p%5E2-4pq%29%2F%28p%5E2-q%5E2%29+-+%284p-3q%29%2F%28p%2Bq%29=%283q%29%2F%28p%2Bq%29 for all values of p and q where p does not equal q and p does not equal -q