document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=971505>Question 971505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me multiply this quadratic equation?\r<BR>\n" );
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document.write( "121-x^2/x^2-22x+120 times x^2-24x+140/x^2-18x+77\r<BR>\n" );
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document.write( "Would I set up the 1st equation like this:<BR>\n" );
document.write( "121-x^2/x^2-22x+120 =(11-x)(11-x)/(x-12)(x-10) or -(11-x)(11-x)/(x-12)(x-10)\r<BR>\n" );
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document.write( "After I did the equations but my answer differed from the answer key.<BR>\n" );
document.write( "My answer was:<BR>\n" );
document.write( "(x-11)(x-14)/(x-12)(x-7)<BR>\n" );
document.write( "the answer key is:<BR>\n" );
document.write( "(11+X)(X-14)/(X-12)(X-7)<BR>\n" );
document.write( "what am I doing wrong? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #593958 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=593958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 121-x^2/x^2-22x+120  *   x^2-24x+140/x^2-18x+77\r<BR>\n" );
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document.write( "Factor \r<BR>\n" );
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document.write( "[(11+x)(11-x)/(x-10) (x-12)] * { (x-14)(x-10)/(x-11)(x-7)}\r<BR>\n" );
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document.write( "The (x-10) disappears\r<BR>\n" );
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document.write( "{(x+11) (11-x) (x-12)(x-14)/(x-11)(x-12)(x-7)}\r<BR>\n" );
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document.write( "Change (11-x) to -(x-11), which is the same thing, and with a negative sign out front, you can cancel the (x-11).  There does have to be a negative in the answer key.\r<BR>\n" );
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document.write( "- {(x+11)(x-14)/(x-12)(x-7)\r<BR>\n" );
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document.write( "The key is recognizing that (11-x) and (x-11) can cancel, so long as one changes the sign.\r<BR>\n" );
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document.write( "Also, 121-x^2 is a difference of squares, not (11-x)^2.  It is (11+x)(11-x).    The answer key still needs to have a negative. </SPAN>\n" );
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