document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36411>Question 36411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> OK I need to simplify this question\r<BR>\n" );
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document.write( "x-2 / 3x-2y <BR>\n" );
document.write( "*times*<BR>\n" );
document.write( "9x^2-4y^2 / 2x^2+x-10\r<BR>\n" );
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document.write( "A) 3x-2y / 7x+1<BR>\n" );
document.write( "B) 3x+2y / 2x-5<BR>\n" );
document.write( "C) 3x+2y / 2x-5<BR>\n" );
document.write( "D) 3x^2+2y^2 / 2x+5\r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22312 by </B><A HREF=/tutors/aboutme.mpl?userid=ilana><B>ilana(307)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ilana><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=22312\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Based on the fact that your B and C are the same and I got a different but similar answer, I'm guessing you had a typo.  I got 3x+2y / 2x+5.<BR>\n" );
document.write( "The first fraction, x-2 / 3x-2y, does not simplify.  In the other, though, we have 2 factorable expressions.  9x^2-4y^2 is the difference of 2 squares, so it is (3x+2y)(3x-2y).  2x^2+x-10 can be factored to (2x+5)(x-2).  So, everything cancels out except (3x+2y)/(2x+5). </SPAN>\n" );
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