document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1082119>Question 1082119</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following expressions is equal to -3x^2-27<BR>\n" );
document.write( "A ) (-3x-3i)(x-9i)<BR>\n" );
document.write( "B ) (-3x-9i)(x+3i)<BR>\n" );
document.write( "C ) (-3x+3i)(x+9i)<BR>\n" );
document.write( "D ) (-3X+9i)(x+3i)<BR>\n" );
document.write( "i know i have to factor (i think) to solve it but i'm having trouble when it comes to getting the final form ( cant think of the right term) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #696213 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=696213\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%5E2-27 ALIGN=MIDDLE  ALT=\"-3x%5E2-27\"   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=-3%28x%5E2%2B9%29 ALIGN=MIDDLE  ALT=\"-3%28x%5E2%2B9%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=-3%28x%5E2%2B3%5E2%29 ALIGN=MIDDLE  ALT=\"-3%28x%5E2%2B3%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >........here we have the sum of squares <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B3%5E2%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B3%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and we can write it as the difference of squares if we write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2 ALIGN=MIDDLE  ALT=\"3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%5E2%28-1%29 ALIGN=MIDDLE  ALT=\"-3%5E2%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1=i%5E2 ALIGN=MIDDLE  ALT=\"-1=i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; so, we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-3%5E2i%5E2%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-3%5E2i%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-%283i%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-%283i%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > now factor it as the difference of the squares and you have  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B9=%28x+-3i%29+%28x+%2B+3i%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B9=%28x+-3i%29+%28x+%2B+3i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "plug it in:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%28x+-3i%29%28x+%2B+3i%29 ALIGN=MIDDLE  ALT=\"-3%28x+-3i%29%28x+%2B+3i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%28x+-3i%29 ALIGN=MIDDLE  ALT=\"-3%28x+-3i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3x+-%28-3%293i%29%28x+%2B+3i%29 ALIGN=MIDDLE  ALT=\"%28-3x+-%28-3%293i%29%28x+%2B+3i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3x+%2B9i%29%28x+%2B+3i%29 ALIGN=MIDDLE  ALT=\"%28-3x+%2B9i%29%28x+%2B+3i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "answer:\r<BR>\n" );
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document.write( "D ) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3X%2B9i%29%28x%2B3i%29 ALIGN=MIDDLE  ALT=\"%28-3X%2B9i%29%28x%2B3i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );