document.write( "Question 819190: Can u help me express the rational expression (y-1)(y-3)/(3-y)(1+y) \n" ); document.write( "
Algebra.Com's Answer #498110 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
\"%28%28y-1%29%28y-3%29%29%2F%28%283-y%29%281%2By%29%29\"
\n" ); document.write( "The \"trick\" with this one is recognizing that y-3 and 3-y are not the same... but they are opposites of each other! So if we factor out a -1 from one of them (not both!), we will have some factors to cancel:
\n" ); document.write( "\"%28%28y-1%29%28-1%29%283-y%29%29%2F%28%283-y%29%281%2By%29%29\"
\n" ); document.write( "\"%28%28y-1%29%28-1%29cross%28%283-y%29%29%29%2F%28cross%28%283-y%29%29%281%2By%29%29\"
\n" ); document.write( "leaving...
\n" ); document.write( "\"%28%28y-1%29%28-1%29%29%2F%281%2By%29\"
\n" ); document.write( "All that's left is to multiply out the numerator:
\n" ); document.write( "\"%28-y%2B1%29%2F%281%2By%29\"
\n" ); document.write( "
\n" );