document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212480>Question 212480</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the expressions (2-i)^3 in form of a+bi </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160454 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=160454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-i%29%5E3 ALIGN=MIDDLE  ALT=\"%282-i%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > in form of a+bi\r<BR>\n" );
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document.write( "Step 1.  Multiply first the following using the FOIL technique:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-i%29%282-i%29=4-4i%2Bi%5E2 ALIGN=MIDDLE  ALT=\"%282-i%29%282-i%29=4-4i%2Bi%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2=-1 ALIGN=MIDDLE  ALT=\"i%5E2=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  So \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-i%29%282-i%29=4-4i%2B%28-1%29 ALIGN=MIDDLE  ALT=\"%282-i%29%282-i%29=4-4i%2B%28-1%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=%282-i%29%282-i%29=3-4i ALIGN=MIDDLE  ALT=\"%282-i%29%282-i%29=3-4i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2. Now multiply 3-4i by 2-i to get (2-i)^3.  Using the FOIL method, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-i%29%5E3=6-11i-4 ALIGN=MIDDLE  ALT=\"%282-i%29%5E3=6-11i-4\"   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=%282-i%29%5E3=2-11i ALIGN=MIDDLE  ALT=\"%282-i%29%5E3=2-11i\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ANSWER\r<BR>\n" );
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document.write( "Hope the steps were helpful.  Good luck in your studies.   \r<BR>\n" );
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document.write( "Respectfully, <BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( "For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra. </SPAN>\n" );
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