document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=859417>Question 859417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factorise each of the following as possible. <BR>\n" );
document.write( "7x*xy - 28x*x*x*y*y*y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #517733 by </B><A HREF=/tutors/aboutme.mpl?userid=Awesom3guy><B>Awesom3guy(31)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Awesom3guy><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=517733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "You have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2Ax%2Ax%2Ay+-+28%2Ax%2Ax%2Ax%2Ay%2Ay%2Ay ALIGN=MIDDLE  ALT=\"7%2Ax%2Ax%2Ay+-+28%2Ax%2Ax%2Ax%2Ay%2Ay%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are two terms here:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2Ax%2Ax%2Ay%29+-+%2828%2Ax%2Ax%2Ax%2Ay%2Ay%2Ay%29 ALIGN=MIDDLE  ALT=\"%287%2Ax%2Ax%2Ay%29+-+%2828%2Ax%2Ax%2Ax%2Ay%2Ay%2Ay%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You are looking for the biggest thing you can \"extract\" or factor out of both of these terms.<BR>\n" );
document.write( "The first term is smaller so you start with it.<BR>\n" );
document.write( "Can you factor 7 from it? Sure. That gives you<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2A%28x%2Ax%2Ay%29 ALIGN=MIDDLE  ALT=\"7%2A%28x%2Ax%2Ay%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "You can also factor 7 from the second term. That gives you<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2A%284%2Ax%2Ax%2Ax%2Ay%2Ay%2Ay%29 ALIGN=MIDDLE  ALT=\"7%2A%284%2Ax%2Ax%2Ax%2Ay%2Ay%2Ay%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Common sense suggests that you can keep going as there are more x'es and y's to factor our in both of these terms. So let's try the biggest thing you can do. Can you factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2Ax%2Ax%2Ay ALIGN=MIDDLE  ALT=\"7%2Ax%2Ax%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the first term? sure you can. it's all multiplying so you have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2Ax%2Ax%2Ay%29%2A1 ALIGN=MIDDLE  ALT=\"%287%2Ax%2Ax%2Ay%29%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But can you factor out 7*x*x*y from the second one?<BR>\n" );
document.write( "For this you have to have at least one number that is a multiple of 7, two x'es and one y. Of course there is all of that there. What isn't factored stays, so the second term becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2Ax%2Ax%2Ay%29%2A%284%2Ax%2Ay%2Ay%29 ALIGN=MIDDLE  ALT=\"%287%2Ax%2Ax%2Ay%29%2A%284%2Ax%2Ay%2Ay%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now you can't factor, as there is nothing left to factor in the first term. This is what you have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2Ax%2Ax%2Ay%29%2A%281%29+-+%287%2Ax%2Ax%2Ay%29%2A%284%2Ax%2Ay%2Ay%29 ALIGN=MIDDLE  ALT=\"%287%2Ax%2Ax%2Ay%29%2A%281%29+-+%287%2Ax%2Ax%2Ay%29%2A%284%2Ax%2Ay%2Ay%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice that the part <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2Ax%2Ax%2Ay%29 ALIGN=MIDDLE  ALT=\"%287%2Ax%2Ax%2Ay%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > appears in both terms, and that's what we wanted. Now you factor that part out of both of the terms and multiply it with everything that isn't that term together, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281+%2B+4%2Ax%2Ay%2Ay%29 ALIGN=MIDDLE  ALT=\"%281+%2B+4%2Ax%2Ay%2Ay%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=%287%2Ax%2Ax%2Ay%29%2A%281+%2B+4%2Ax%2Ay%2Ay%29 ALIGN=MIDDLE  ALT=\"%287%2Ax%2Ax%2Ay%29%2A%281+%2B+4%2Ax%2Ay%2Ay%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And you're done! This isn't so long, I just explained it thoroughly :) </SPAN>\n" );
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