document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=158078>Question 158078</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify/Factor:\r<BR>\n" );
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document.write( "(a-2b)(a+3b)(b-a)-(4a+5b)(a-b)(a-2b)\r<BR>\n" );
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document.write( "the answer is (b-a)(a-2b)(5a+8b)\r<BR>\n" );
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document.write( "I can definitely see the familiarities in the answer  and question but i really don't know how the book arrived at that answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #116473 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=116473\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=a-2b ALIGN=MIDDLE  ALT=\"w=a-2b\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=a-b ALIGN=MIDDLE  ALT=\"z=a-b\"   DISABLED_style= \"max-width:90%; height:auto;\" > (note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-z=b-a ALIGN=MIDDLE  ALT=\"-z=b-a\"   DISABLED_style= \"max-width:90%; height:auto;\" >). So this means that the expression \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-2b%29%28a%2B3b%29%28b-a%29-%284a%2B5b%29%28a-b%29%28a-2b%29 ALIGN=MIDDLE  ALT=\"%28a-2b%29%28a%2B3b%29%28b-a%29-%284a%2B5b%29%28a-b%29%28a-2b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%28a%2B3b%29%28-z%29-%284a%2B5b%29zw ALIGN=MIDDLE  ALT=\"w%28a%2B3b%29%28-z%29-%284a%2B5b%29zw\"   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=-wz%28a%2B3b%29-wz%284a%2B5b%29 ALIGN=MIDDLE  ALT=\"-wz%28a%2B3b%29-wz%284a%2B5b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-wz%28a%2B3b%2B4a%2B5b%29 ALIGN=MIDDLE  ALT=\"-wz%28a%2B3b%2B4a%2B5b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-wz ALIGN=MIDDLE  ALT=\"-wz\"   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=-wz%285a%2B8b%29 ALIGN=MIDDLE  ALT=\"-wz%285a%2B8b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28a-2b%29%28a-b%29%285a%2B8b%29 ALIGN=MIDDLE  ALT=\"-%28a-2b%29%28a-b%29%285a%2B8b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=a-2b ALIGN=MIDDLE  ALT=\"w=a-2b\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=a-b ALIGN=MIDDLE  ALT=\"z=a-b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-2b%29%28a%2B3b%29%28b-a%29-%284a%2B5b%29%28a-b%29%28a-2b%29 ALIGN=MIDDLE  ALT=\"%28a-2b%29%28a%2B3b%29%28b-a%29-%284a%2B5b%29%28a-b%29%28a-2b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28a-2b%29%28a-b%29%285a%2B8b%29 ALIGN=MIDDLE  ALT=\"-%28a-2b%29%28a-b%29%285a%2B8b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the order of the factors does not matter)\r<BR>\n" );
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document.write( "Note: the factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28a-b%29 ALIGN=MIDDLE  ALT=\"-%28a-b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b-a ALIGN=MIDDLE  ALT=\"b-a\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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