document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=232815>Question 232815</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. If a and b are real numbers, then the product of a+bi and a-bi is <BR>\n" );
document.write( "(1) Always imaginary<BR>\n" );
document.write( "(2) Always a real number<BR>\n" );
document.write( "(3) Somtimes, but not always, a real number<BR>\n" );
document.write( "(4) Somtimes, but not alwaus, imaginary<BR>\n" );
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document.write( "Please help me with this question and explain how you got the answer thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171945 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=171945\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's multiply a+bi and a-bi and see what happens:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bbi%29%28a-bi%29+=+a%5E2+-abi+%2Babi+-b%5E2i%5E2+=+a%5E2+-+b%5E2%28-1%29+=+a%5E2+%2B+b%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The i's have disappeared. We're told that a and b are real numbers. Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is also a real number. Your answer is (2). </SPAN>\n" );
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