SOLUTION: Hi, I need help to simplify the following expressions: (6x2y2 + 9xy2) / 3xy

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Question 151635: Hi,
I need help to simplify the following expressions:
(6x2y2 + 9xy2) / 3xy
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%286x%5E2y%5E2+%2B+9xy%5E2%29+%2F%283xy%29 Start with the given expression.


%286x%5E2y%5E2%29+%2F%283xy%29+%2B+%289xy%5E2%29+%2F%283xy%29 Break up the fraction


%282%2A3%2Ax%2Ax%2Ay%2Ay%29+%2F%283xy%29+%2B+%283%2A3%2Ax%2Ay%2Ay%29+%2F%283xy%29 Expand. Remember, 6x%5E2y%5E2=2%2A3%2Ax%2Ax%2Ay%2Ay and 9xy%5E2=3%2A3%2Ax%2Ay%2Ay


Highlight the common terms.


Cancel out the common terms.


2xy%2B3y Simplify


So %286x%5E2y%5E2+%2B+9xy%5E2%29+%2F%283xy%29 simplifies to 2xy%2B3y


In other words, %286x%5E2y%5E2+%2B+9xy%5E2%29+%2F%283xy%29=2xy%2B3y where x%3C%3E0 and y%3C%3E0