document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1009757>Question 1009757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello<BR>\n" );
document.write( "Please help me solve this problem <BR>\n" );
document.write( "How do I factorize completely: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5y-xy ALIGN=MIDDLE  ALT=\"x%5E5y-xy\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and also \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5a%5E3-10a%5E2%2B3a-6 ALIGN=MIDDLE  ALT=\"5a%5E3-10a%5E2%2B3a-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #625239 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=625239\">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=x%5E5y-xy ALIGN=MIDDLE  ALT=\"x%5E5y-xy\"   DISABLED_style= \"max-width:90%; height:auto;\" >...we can write the term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5y ALIGN=MIDDLE  ALT=\"x%5E5y\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4%2Axy ALIGN=MIDDLE  ALT=\"x%5E4%2Axy\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "so,<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4%2Axy-xy ALIGN=MIDDLE  ALT=\"x%5E4%2Axy-xy\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....both terms have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy ALIGN=MIDDLE  ALT=\"xy\"   DISABLED_style= \"max-width:90%; height:auto;\" > in common, so we can factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy ALIGN=MIDDLE  ALT=\"xy\"   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=xy%28x%5E4-1%29 ALIGN=MIDDLE  ALT=\"xy%28x%5E4-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.... write the term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4 ALIGN=MIDDLE  ALT=\"x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > as  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%5E2 ALIGN=MIDDLE  ALT=\"1%5E2\"   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=xy%28%28x%5E2%29%5E2-1%5E2%29 ALIGN=MIDDLE  ALT=\"xy%28%28x%5E2%29%5E2-1%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....now we have difference of squares, factor it  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy%28%28x%5E2-1%29%28x%5E2%2B1%29%29 ALIGN=MIDDLE  ALT=\"xy%28%28x%5E2-1%29%28x%5E2%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....one more time we have difference of squares, factor it \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy%28%28x-1%29%28x%2B1%29%28x%5E2%2B1%29%29 ALIGN=MIDDLE  ALT=\"xy%28%28x-1%29%28x%2B1%29%28x%5E2%2B1%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=5a%5E3-10a%5E2%2B3a-6 ALIGN=MIDDLE  ALT=\"5a%5E3-10a%5E2%2B3a-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >....group first two terms together and second two terms together\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285a%5E3-10a%5E2%29%2B%283a-6%29 ALIGN=MIDDLE  ALT=\"%285a%5E3-10a%5E2%29%2B%283a-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...from a group of first two terms factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5a%5E2 ALIGN=MIDDLE  ALT=\"5a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, from a second group factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   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=5a%5E2%28a-2%29%2B3%28a-2%29 ALIGN=MIDDLE  ALT=\"5a%5E2%28a-2%29%2B3%28a-2%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=%285a%5E2%2B3%29%28a-2%29 ALIGN=MIDDLE  ALT=\"%285a%5E2%2B3%29%28a-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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