document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36601>Question 36601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express the following as a complex number in the form a + ib:\r<BR>\n" );
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document.write( "(3 - i)*(5 + 12i)\r<BR>\n" );
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document.write( "* = divided symbol </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22528 by </B><A HREF=/tutors/aboutme.mpl?userid=tran3209><B>tran3209(100)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tran3209><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=22528\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (3- i/5+12i) (5-12i/5-12i)\r<BR>\n" );
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document.write( "Formula:(A+B)(A-B) = A^2 - B^2 \r<BR>\n" );
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document.write( "25-144i^2   * replace i^2 by -1\r<BR>\n" );
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document.write( "25- [(144)(-1)] \r<BR>\n" );
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document.write( "25+ 144\r<BR>\n" );
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document.write( "169 <===== this is the denomenator<BR>\n" );
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document.write( "now we will find the numerator\r<BR>\n" );
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document.write( "(3-i) (5-12i)\r<BR>\n" );
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document.write( "15-36i-5i+12i^2 <===== replace i^2 by -1\r<BR>\n" );
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document.write( "15-41i-12\r<BR>\n" );
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document.write( "3-41i\r<BR>\n" );
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document.write( "now we will put the numerator and denomenator together \r<BR>\n" );
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document.write( "3-41i/169 \r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "3/169 - 4i/169\r<BR>\n" );
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document.write( " </SPAN>\n" );
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