document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=401565>Question 401565</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solving the problem<BR>\n" );
document.write( "finding the power of a complex number<BR>\n" );
document.write( "z=(3+i)^3<BR>\n" );
document.write( "I know the answer, i need to see the steps worked out, please </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #284173 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=284173\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> finding the power of a complex number<BR>\n" );
document.write( "z = (3+i)^3<BR>\n" );
document.write( "that's: (3+i)(3+i)(3+i)<BR>\n" );
document.write( "FOIL <BR>\n" );
document.write( "(3+i)(3+i)<BR>\n" );
document.write( "9 + 3i + 3i + i^2; (i^2 is -1)<BR>\n" );
document.write( "9 + 6i - 1<BR>\n" );
document.write( "8 + 6i; this is the result of (3+i)^2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Now FOIL to get (3+i)^3<BR>\n" );
document.write( "(8+6i)(3+i)<BR>\n" );
document.write( "24 + 8i + 18i + 6(i^2)<BR>\n" );
document.write( "24 + 26i + 6(-1)<BR>\n" );
document.write( "24 + 26i - 6<BR>\n" );
document.write( "z = 18 + 26i; is the answer<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Was this step-by-step enough for you? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );