document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=645982>Question 645982</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factor completely\r<BR>\n" );
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document.write( "30r^3-40r^2+270r-360 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #405680 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=405680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30r%5E3-40r%5E2%2B270r-360 ALIGN=MIDDLE  ALT=\"30r%5E3-40r%5E2%2B270r-360\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2830r%5E3-40r%5E2%29%2B%28270r-360%29 ALIGN=MIDDLE  ALT=\"%2830r%5E3-40r%5E2%29%2B%28270r-360%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Group the terms in two pairs\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10r%5E2%283r-4%29%2B90%283r-4%29 ALIGN=MIDDLE  ALT=\"10r%5E2%283r-4%29%2B90%283r-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10r%5E2 ALIGN=MIDDLE  ALT=\"10r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the first group. Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90 ALIGN=MIDDLE  ALT=\"90\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the second group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810r%5E2%2B90%29%283r-4%29 ALIGN=MIDDLE  ALT=\"%2810r%5E2%2B90%29%283r-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since we have the common term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3r-4 ALIGN=MIDDLE  ALT=\"3r-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%28r%5E2%2B9%29%283r-4%29 ALIGN=MIDDLE  ALT=\"10%28r%5E2%2B9%29%283r-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now factor out 10 from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10r%5E2%2B90 ALIGN=MIDDLE  ALT=\"10r%5E2%2B90\"   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=30r%5E3-40r%5E2%2B270r-360 ALIGN=MIDDLE  ALT=\"30r%5E3-40r%5E2%2B270r-360\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%28r%5E2%2B9%29%283r-4%29 ALIGN=MIDDLE  ALT=\"10%28r%5E2%2B9%29%283r-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30r%5E3-40r%5E2%2B270r-360=10%28r%5E2%2B9%29%283r-4%29 ALIGN=MIDDLE  ALT=\"30r%5E3-40r%5E2%2B270r-360=10%28r%5E2%2B9%29%283r-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for all values of r.\r<BR>\n" );
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