document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=233419>Question 233419</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The expression(-1+i)^3 is equivalent to <BR>\n" );
document.write( "(1) -3i<BR>\n" );
document.write( "(2) -2-2i<BR>\n" );
document.write( "(3) -1-i<BR>\n" );
document.write( "(4) 2+2i<BR>\n" );
document.write( "----------------------------------------------------------------------------------<BR>\n" );
document.write( "please choose the correct answer choice and explain how to get the answer <BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172303 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=172303\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The expression(-1+i)^3 is equivalent to <BR>\n" );
document.write( "(1) -3i<BR>\n" );
document.write( "(2) -2-2i<BR>\n" );
document.write( "(3) -1-i<BR>\n" );
document.write( "(4) 2+2i<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "(-1+i)^2 = 1-1 - 2i = -2i<BR>\n" );
document.write( "(-1+i)^3 = -2i*(-1+i) = 2i + 2<BR>\n" );
document.write( "= 2+2i --> #4<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "-1+i = sqrt(2)cis135<BR>\n" );
document.write( "(-1+i)^3 = 2sqrt(2)cis405<BR>\n" );
document.write( "= 2sqrt(2)cis45<BR>\n" );
document.write( "= 2sqrt(2)*(cos(45) + isin(45))<BR>\n" );
document.write( "= 2 + 2i  Same answer<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );