document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031478>Question 1031478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am to simplify this expression (2x-3y)^2 / (3y-2x)^2\r<BR>\n" );
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document.write( "My work is...<BR>\n" );
document.write( "(2x-3y)^2 / (3y-2x)^2<BR>\n" );
document.write( "=(2x-3y)^2 / [-(2x-3y)]^2<BR>\n" );
document.write( "=(2x-3y)^2 / (2x-3y)^2<BR>\n" );
document.write( "=-1<BR>\n" );
document.write( "What am I doing wrong?  My teacher states my answer is incorrect.  Please tell me what I am missing.  Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #646156 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=646156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  (2x-3y)^2 / (3y-2x)^2 <BR>\n" );
document.write( "Foil them out<BR>\n" );
document.write( "4x^2-12xy+9y^2/9y^2-12xy+4x^2<BR>\n" );
document.write( "Those are the same. Answer is 1.<BR>\n" );
document.write( "The issue is the minus sign you have in the brackets is also squared, and that equals 1.<BR>\n" );
document.write( "I'm always cautious when I cancel squares, take square roots, or modify something that is being squared.  Here, the safest way is to foil the two out and notice that they are the same, just written in different order. </SPAN>\n" );
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