document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115318>Question 115318</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having problems fiquiring out how i(1+i)^3 *(1-i) is equal to -4. I am required to show work... When I type the equation into my calculator it comes out -4. How so?\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks, <BR>\n" );
document.write( "Mike </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83909 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=83909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> having problems fiquring out how i(1+i)^3 *(1-i) is equal to -4<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Expand:<BR>\n" );
document.write( "i[1^3+3i+3i^2+i^3]*(1-i)\r<BR>\n" );
document.write( "\n" );
document.write( "= i[1 + 3i -3 -i]*(1-i)\r<BR>\n" );
document.write( "\n" );
document.write( "= i[-2+2i](1-i)\r<BR>\n" );
document.write( "\n" );
document.write( "= -2i[1-i](1-i)\r<BR>\n" );
document.write( "\n" );
document.write( "= -2i[1-2i-1]\r<BR>\n" );
document.write( "\n" );
document.write( "= -2i[-2i]\r<BR>\n" );
document.write( "\n" );
document.write( "= -4<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );