document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152791>Question 152791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify these expressions\r<BR>\n" );
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document.write( "(3+2i)(3-2i)\r<BR>\n" );
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document.write( "8/-2i\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112308 by </B><A HREF=/tutors/aboutme.mpl?userid=orca><B>orca(409)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=orca><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=112308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (3+2i)(3-2i)<BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "Using the formula (a+b)(a-b)=a^2 - b^2 to expand (3+2i)(3-2i), we have<BR>\n" );
document.write( "(3+2i)(3-2i)<BR>\n" );
document.write( "=3^2 - (2i)^2<BR>\n" );
document.write( "= 9 - 2^2*i^2<BR>\n" );
document.write( "= 9 - 4*(-1)<BR>\n" );
document.write( "= 9 + 4<BR>\n" );
document.write( "= 13<BR>\n" );
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document.write( "8/-2i<BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "Our goal is to remove i from the denominator. It can be achieved by multiply both the denominator and numerator by i.\r<BR>\n" );
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document.write( "8/(-2i)<BR>\n" );
document.write( "= 8*i/(-2i*i)<BR>\n" );
document.write( "= 8i/(-2*i^2)<BR>\n" );
document.write( "= 8i/[-2*(-1)]<BR>\n" );
document.write( "= 8i/2<BR>\n" );
document.write( "= 4i<BR>\n" );
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