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September 4th, 2010, 11:08 AM  #1 
Newbie Joined: Sep 2010 Posts: 7 Thanks: 0  Check answers for a Rational Expression problem.
Hi, I am in an Algebra II class. I already took it years ago, but I am taking it again as a refresher. I have done two problems that I uploaded for this community to check to see if I have the right answer. I wrote out the whole equation. This will probably be very easy for the members here. 1.) This is a subtraction and simplifying of a rational expression. http://i53.tinypic.com/24nh2zn.jpg 2.) This is a find the domain problem... http://i51.tinypic.com/5p0eog.jpg 
September 4th, 2010, 11:59 AM  #2 
Newbie Joined: Aug 2010 Posts: 25 Thanks: 0  Re: Check answers for a Rational Expression problem.
1) You made a mistake in the third row, because is not equal to Hence is not equal to This is the right: Now I solve the original exercise fully: 2) The exerxise: Find domain of rational expression This expression is meaningless if the value of denominator is equal to 0. x(7x)=0 A product is equal to 0 if and only if at least a factor is equal to 0. Therefore x1=0 and x2=7 
September 4th, 2010, 12:16 PM  #3 
Newbie Joined: Sep 2010 Posts: 7 Thanks: 0  Re: Check answers for a Rational Expression problem.
How about this? I did the question for these two and posted what I thought the answer is. http://i54.tinypic.com/23ixu04.jpg Thanks in advance. 
September 4th, 2010, 01:04 PM  #4 
Newbie Joined: Aug 2010 Posts: 25 Thanks: 0  Re: Check answers for a Rational Expression problem. is equal to if and only if (Of course x,y and 3y2x is not equal to 0, because the fractions will be meaningless in this case.) 2) if and only if and/or (Of course x,y is not equal to 0 and x is not equal to 1 because of domain.) 
September 4th, 2010, 01:15 PM  #5 
Newbie Joined: Sep 2010 Posts: 7 Thanks: 0  Re: Check answers for a Rational Expression problem.
Thanks, I am not one to come on forums and ask questions to problems I never tried.

September 4th, 2010, 04:51 PM  #6 
Global Moderator Joined: Dec 2006 Posts: 20,616 Thanks: 2072 
For the second question, the second equation should be xy  x  y = 0, not xy + x + y = 0.

September 5th, 2010, 12:17 AM  #7 
Newbie Joined: Aug 2010 Posts: 25 Thanks: 0  Re: Check answers for a Rational Expression problem.
Thanks the reparation. When I wrote that message last night, I was very exhausted.

September 5th, 2010, 04:41 AM  #8 
Newbie Joined: Sep 2010 Posts: 7 Thanks: 0  Re: Check answers for a Rational Expression problem. 
September 5th, 2010, 05:13 AM  #9 
Newbie Joined: Aug 2010 Posts: 25 Thanks: 0  Re: Check answers for a Rational Expression problem.
Well, the first simplification of rational expression is right, and the second rational expression is equal to (Of course if the fractions are meaningful.)

September 5th, 2010, 06:58 AM  #10 
Global Moderator Joined: Dec 2006 Posts: 20,616 Thanks: 2072 
The second one is 

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