document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123693>Question 123693</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help please:\r<BR>\n" );
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document.write( "Divide--\r<BR>\n" );
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document.write( "p^2 - q^2/p+q    divided by  p-q/p+q </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91507 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=91507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28p%5E2+-+q%5E2%29%2F%28p%2Bq%29%29%2F%28%28p-q%29%2F%28p%2Bq%29%29 ALIGN=MIDDLE  ALT=\"%28%28p%5E2+-+q%5E2%29%2F%28p%2Bq%29%29%2F%28%28p-q%29%2F%28p%2Bq%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Just like dividing any other fractions, you invert and multiply:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28p%5E2+-+q%5E2%29%2F%28p%2Bq%29%29%2A%28%28p%2Bq%29%2F%28p-q%29%29 ALIGN=MIDDLE  ALT=\"%28%28p%5E2+-+q%5E2%29%2F%28p%2Bq%29%29%2A%28%28p%2Bq%29%2F%28p-q%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%2Bq%29%2F%28p%2Bq%29=1 ALIGN=MIDDLE  ALT=\"%28p%2Bq%29%2F%28p%2Bq%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28p%5E2+-+q%5E2%29%2F%28p-q%29%29 ALIGN=MIDDLE  ALT=\"%28%28p%5E2+-+q%5E2%29%2F%28p-q%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, remember the factorization of the difference of two squares:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2-b%5E2=%28a%2Bb%29%28a-b%29 ALIGN=MIDDLE  ALT=\"a%5E2-b%5E2=%28a%2Bb%29%28a-b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28p%2Bq%29%28p-q%29%29%2F%28p-q%29 ALIGN=MIDDLE  ALT=\"%28%28p%2Bq%29%28p-q%29%29%2F%28p-q%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p-q%29%2F%28p-q%29=1 ALIGN=MIDDLE  ALT=\"%28p-q%29%2F%28p-q%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2Bq ALIGN=MIDDLE  ALT=\"p%2Bq\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Super-double-plus extra credit.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28p%5E2+-+q%5E2%29%2F%28p%2Bq%29%29%2F%28%28p-q%29%2F%28p%2Bq%29%29=p%2Bq ALIGN=MIDDLE  ALT=\"%28%28p%5E2+-+q%5E2%29%2F%28p%2Bq%29%29%2F%28%28p-q%29%2F%28p%2Bq%29%29=p%2Bq\"   DISABLED_style= \"max-width:90%; height:auto;\" >for all real numbers p and q with what restriction? </SPAN>\n" );
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