document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253915>Question 253915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express the product of 4 – 3i and 2 + i in simplest a + bi form.\r<BR>\n" );
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document.write( "   1.   2 + 11i<BR>\n" );
document.write( "   2.   2 – 11i<BR>\n" );
document.write( "   3.   11 + 2i<BR>\n" );
document.write( "   4.   11 – 2i\r<BR>\n" );
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document.write( "I have an application on my graphing calculator allowing me to add/subtract/multiply/or divide complex numbers. I used that and came up with 4-5i? Yet that isn't an answer choice? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #186259 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=186259\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i came up with 11 - 2i\r<BR>\n" );
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document.write( "here's how.\r<BR>\n" );
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document.write( "multiply (4-3i) * (2+i)\r<BR>\n" );
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document.write( "4 * 2 = 8<BR>\n" );
document.write( "4 * i = 4i<BR>\n" );
document.write( "-3i * 2 = -6i<BR>\n" );
document.write( "-3i * i = -3i^2\r<BR>\n" );
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document.write( "add them up together and you get:\r<BR>\n" );
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document.write( "8 + 4i - 6i - 3i^2\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "8 - 2i - 3i^2\r<BR>\n" );
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document.write( "since i^2 = -1, this becomes:\r<BR>\n" );
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document.write( "8 - 2i - 3*(-1) which becomes:\r<BR>\n" );
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document.write( "8 - 2i + 3\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "11 - 2i\r<BR>\n" );
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document.write( "that would be selection 4.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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