document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158353>Question 1158353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (2-i)^6\r<BR>\n" );
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document.write( "the ‘i’ is the imaginary number\r<BR>\n" );
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document.write( "can someone please help?\r<BR>\n" );
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document.write( "this is my last problem for my homework on UMTYMP\r<BR>\n" );
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document.write( "thanks\r<BR>\n" );
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document.write( "UMTYMP: university of minnesota talented youth mathematics program </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781300 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=781300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The solution from the other tutor uses several multiplications to arrive at the (correct) answer.<br><BR>\n" );
document.write( "My preference is to use binomial expansion:<br><PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "(1)(2^6) + (6)(2^5)(-i) + (15)(2^4)((-i)^2) + 20(2^3)((-i)^3) + 15(2^2)((-i)^4) + 6(2)((-i)^5) + (-i)^6\r\n" );
document.write( "   64    +   (-192i)    +      (-240)       +     160i        +        60       +    (-12i)    +   (-1)\r\n" );
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document.write( "= -117 - 44i</PRE><BR>\n" );
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