document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1757>Question 1757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please factor completely the following polynomials:<BR>\n" );
document.write( "1) (a-b)2(squared) - 4(c-d)2 (squared)<BR>\n" );
document.write( "2) 6(x-y)2 (squared) + 23(x-y) - 4\r<BR>\n" );
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document.write( "Simplify and express answers using positive exponents only.\r<BR>\n" );
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document.write( "1)  5<BR>\n" );
document.write( "   ----<BR>\n" );
document.write( "   4x-9 (exponent -9)\r<BR>\n" );
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document.write( "2)  m-11 (exponent -11)<BR>\n" );
document.write( "   -------<BR>\n" );
document.write( "    m-5 (exponent -5)\r<BR>\n" );
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document.write( "3) (2a-3 (exponent 3))2 (squared)\r<BR>\n" );
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document.write( "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 #597 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=597\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+4y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+-+4y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this factorises to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2y%29%28x-2y%29 ALIGN=MIDDLE  ALT=\"%28x%2B2y%29%28x-2y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So similarly, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-b%29%5E2+-+4%28c-d%29%5E2 ALIGN=MIDDLE  ALT=\"%28a-b%29%5E2+-+4%28c-d%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomess <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a-b%29%2B2%28c-d%29%29%28%28a-b%29-2%28c-d%29%29 ALIGN=MIDDLE  ALT=\"%28%28a-b%29%2B2%28c-d%29%29%28%28a-b%29-2%28c-d%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2. think of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6z%5E2+%2B+23z+-+4 ALIGN=MIDDLE  ALT=\"6z%5E2+%2B+23z+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This factorises to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286z-1%29%28z%2B4%29 ALIGN=MIDDLE  ALT=\"%286z-1%29%28z%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...you just have to mess around with the possibilities and eventually find the correct pairing. There is no \"secret\" here, just looking at the numbers.\r<BR>\n" );
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document.write( "Hence, we then get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%286%28x-y%29-1%29%28x-y%2B4%29+ ALIGN=MIDDLE  ALT=\"+%286%28x-y%29-1%29%28x-y%2B4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%5E9%29%2F4 ALIGN=MIDDLE  ALT=\"%285x%5E9%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "4. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E%28-6%29 ALIGN=MIDDLE  ALT=\"m%5E%28-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fm%5E6 ALIGN=MIDDLE  ALT=\"1%2Fm%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "5. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282a%5E%28-3%29%29%5E2 ALIGN=MIDDLE  ALT=\"%282a%5E%28-3%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a%5E%28-6%29 ALIGN=MIDDLE  ALT=\"4a%5E%28-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fa%5E6 ALIGN=MIDDLE  ALT=\"4%2Fa%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "cheers<BR>\n" );
document.write( "Jon. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );