document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=888267>Question 888267</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express the following in the form of a+ib, a, b belongs to R, i=square root of -1. State the values of a and b<BR>\n" );
document.write( "(2+i)upon (3-i)(1+2i) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #537325 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=537325\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Do you mean, or you must mean, this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Bi%29%2F%28%283-i%29%281%2B2i%29%29 ALIGN=MIDDLE  ALT=\"%282%2Bi%29%2F%28%283-i%29%281%2B2i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Simplify for denominator first.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Bi%29%2F%283-i%2B6i-2i%5E2%29 ALIGN=MIDDLE  ALT=\"%282%2Bi%29%2F%283-i%2B6i-2i%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Bi%29%2F%283%2B5i%2B2%29 ALIGN=MIDDLE  ALT=\"%282%2Bi%29%2F%283%2B5i%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Bi%29%2F%285%2B5i%29 ALIGN=MIDDLE  ALT=\"%282%2Bi%29%2F%285%2B5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Use the conjugate of the denominator.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2Bi%29%2F%285%2B5i%29%29%28%285-5i%29%2F%285-5i%29%29 ALIGN=MIDDLE  ALT=\"%28%282%2Bi%29%2F%285%2B5i%29%29%28%285-5i%29%2F%285-5i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is multiplication by 1,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2Bi%29%285-5i%29%29%2F%285%5E2-5%5E2%2Ai%5E2%29 ALIGN=MIDDLE  ALT=\"%28%282%2Bi%29%285-5i%29%29%2F%285%5E2-5%5E2%2Ai%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  notice, difference of two squares...\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2B5i-10i-5i%5E2%29%2F%2825%2B25%29 ALIGN=MIDDLE  ALT=\"%2810%2B5i-10i-5i%5E2%29%2F%2825%2B25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2B5%2B%28-5i%29%29%2F50 ALIGN=MIDDLE  ALT=\"%2810%2B5%2B%28-5i%29%29%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815-5i%29%2F50 ALIGN=MIDDLE  ALT=\"%2815-5i%29%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%283-i%29%2F%285%2A10%29 ALIGN=MIDDLE  ALT=\"5%283-i%29%2F%285%2A10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%283%2F10%29-%281%2F10%29i%29 ALIGN=MIDDLE  ALT=\"highlight%28%283%2F10%29-%281%2F10%29i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );