document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252055>Question 252055</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express (3+2i)(6-i)/(2+i)(4+2i) in a + bi form. Round a and b to hundredths.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183792 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=183792\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "FOIL the numerator and denominator remembering that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE i^2\ =\ -1\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{(3\,+\,2i)(6\,-\,i)}{(2\,+\,i)(4\,+\,2i)}\ =\ \frac{20\,+\,9i}{6\,+\,8i}\">\r<BR>\n" );
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document.write( "Form the conjugate of the denominator, that is change the sign in the middle, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 6\,-\,8i\">.\r<BR>\n" );
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document.write( "Multiply your fraction by 1 in the form of the conjugate of the denominator divided by itself.  Note the difference of two squares result in the denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{20\,+\,9i}{6\,+\,8i}\ =\ \left(\frac{20\,+\,9i}{6\,+\,8i}\right)\left(\frac{6\,-\,8i}{6\,-\,8i}\right)\ =\ \frac{192\,-\,106i}{36\,-\,(-64)}\ =\ \frac{192\,-\,106i}{100}\ =\ 1.92\,-\,1.06i\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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