SOLUTION: p^2-3p+pq-3q,,,,,,,,,,,p-3 ___________ Divided by_____ 11p^2-11q^2,,,,,,,,,,,8p-8q How do i do this? I understand the basic idea, I just don't know how to get the answer.

Algebra ->  Rational-functions -> SOLUTION: p^2-3p+pq-3q,,,,,,,,,,,p-3 ___________ Divided by_____ 11p^2-11q^2,,,,,,,,,,,8p-8q How do i do this? I understand the basic idea, I just don't know how to get the answer.       Log On


   

Question 113236: p^2-3p+pq-3q,,,,,,,,,,,p-3
___________ Divided by_____
11p^2-11q^2,,,,,,,,,,,8p-8q
How do i do this? I understand the basic idea, I just don't know how
to get the answer. could you pleas show me step by step?
P.S
The commas mean nothing I just needed something to keep the space
between the 2 fractions''.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
p^2-3p+pq-3q,,,,,,,,,,,p-3
___________ Divided by_____
11p^2-11q^2,,,,,,,,,,,8p-8q
:
Assume this is the problem:
%28%28p%5E2-3p%2Bpq-3q%29%29%2F%28%2811p%5E2-11q%5E2%29%29
----------------
%28%28p-3%29%29%2F%28%288p-8q%29%29
:
You know that when you divide fractions, you invert the dividing fraction & multiply
%28%28p%5E2-3p%2Bpq-3q%29%29%2F%28%2811p%5E2-11q%5E2%29%29 * %28%288p-8q%29%29%2F%28%28p-3%29%29
:
Factor where we can:
%28p%28p-3%29%2Bq%28p-3%29%29%2F%2811%28p%5E2-q%5E2%29%29 * %288%28p-q%29%29%2F%28%28p-3%29%29
:
Factor some more
%28%28p-3%29%2B%28p%2Bq%29%29%2F%2811%28p-q%29%28p%2Bq%29%29 * %288%28p-q%29%29%2F%28%28p-3%29%29
:
Note how everything cancels except 8%2F11