document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=834452>Question 834452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (5-2i)(5+2i) please help me solve this peoblem im confused </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #503001 by </B><A HREF=/tutors/aboutme.mpl?userid=jgr45><B>jgr45(31)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jgr45><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=jgr45><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=503001\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is it the i that's confusing you?  Solve it the same way you did before; i.e. the FOIL method:\r<BR>\n" );
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document.write( "5(5) = 25; 5(2i) = 10i; 5(-2i)= -10i; and -2i(2i) = -4<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2 ALIGN=MIDDLE  ALT=\"i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or -4(-1), or 4.<BR>\n" );
document.write( "Here, the 10i and -10i offset each other, so your answer is\r<BR>\n" );
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document.write( "25 + 4 or 29.\r<BR>\n" );
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document.write( "The key to understanding complex numbers is to remember that by definition, i = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-1%29 ALIGN=MIDDLE  ALT=\"sqrt%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  So anytime you see <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2 ALIGN=MIDDLE  ALT=\"i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, replace it with -1. </SPAN>\n" );
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