document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=330001>Question 330001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify \"(5 + 3i)(5 - 3i).\" Is the result real, complex, or both? Explain. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #236482 by </B><A HREF=/tutors/aboutme.mpl?userid=mathslover><B>mathslover(157)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathslover><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=mathslover><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=236482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify \"(5 + 3i)(5 - 3i).\" Is the result real, complex, or both? \r<BR>\n" );
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document.write( "Note the expression is of the form (A+B)(A-B)= A^2 - B^2\r<BR>\n" );
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document.write( "therefore we can write <BR>\n" );
document.write( "5 + 3i)(5 - 3i)<BR>\n" );
document.write( "as 5^2 - (3i)^2<BR>\n" );
document.write( "=25 - 9i^2<BR>\n" );
document.write( "=25 -9(-1) as i^2 = -1<BR>\n" );
document.write( "=25+9<BR>\n" );
document.write( "=34 which is real number.  </SPAN>\n" );
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