document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=7201>Question 7201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> will you please help me factor this equation: 16k squared minus 80k plus 100. thankyou </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3973 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=3973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16k%5E2+-+80k+%2B+100 ALIGN=MIDDLE  ALT=\"16k%5E2+-+80k+%2B+100\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Factor a 4 first.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%284k%5E2+-+20k+%2B+25%29 ALIGN=MIDDLE  ALT=\"4%284k%5E2+-+20k+%2B+25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now try:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%282k+-+5%29%282k+-+5%29%29 ALIGN=MIDDLE  ALT=\"4%282k+-+5%29%282k+-+5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The reason to try a -5 constant term in the factors is because you want to get a +25 as the constant in the second equation The only way is to have (-5)(-5) in the factors. Well, (-1)(-25) also = +25 but you can quickly see that this would not work.\r<BR>\n" );
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document.write( "So the complete factorisation is: 4(2k-5)(2k-5) \r<BR>\n" );
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document.write( "Check the solution by using FOIL:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%282k-5%29%282k-5%29+=+4%284k%5E2+-+10k+-+10k+%2B+25%29 ALIGN=MIDDLE  ALT=\"4%282k-5%29%282k-5%29+=+4%284k%5E2+-+10k+-+10k+%2B+25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16k%5E2+-+80k+%2B+100 ALIGN=MIDDLE  ALT=\"16k%5E2+-+80k+%2B+100\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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