document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182450>Question 182450</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (3+5i)/(3-5i) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136938 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=136938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2B5i%29%2F%283-5i%29 ALIGN=MIDDLE  ALT=\"%283%2B5i%29%2F%283-5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%2B5i%29%2F%283-+5i%29%29%28%283%2B5i%29%2F%283%2B5i%29%29 ALIGN=MIDDLE  ALT=\"%28%283%2B5i%29%2F%283-+5i%29%29%28%283%2B5i%29%2F%283%2B5i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2B5i%29%2F%283%2B5i%29 ALIGN=MIDDLE  ALT=\"%283%2B5i%29%2F%283%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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%2B5i%29%283%2B5i%29%29%2F%28%283-5i%29%283%2B5i%29%29 ALIGN=MIDDLE  ALT=\"%28%283%2B5i%29%283%2B5i%29%29%2F%28%283-5i%29%283%2B5i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%29%283%29%2B%283%29%285i%29%2B%285i%29%283%29%2B%285i%29%285i%29%29%2F%28%283-5i%29%283%2B5i%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the numerator.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%29%283%29%2B%283%29%285i%29%2B%285i%29%283%29%2B%285i%29%285i%29%29%2F%28%283%29%283%29%2B%283%29%285i%29%2B%28-5i%29%283%29%2B%28-5i%29%285i%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the denominator.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2B15i%2B15i%2B25i%5E2%29%2F%289%2B15i-15i-25i%5E2%29 ALIGN=MIDDLE  ALT=\"%289%2B15i%2B15i%2B25i%5E2%29%2F%289%2B15i-15i-25i%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-16%2B30i%29%2F%2834%29 ALIGN=MIDDLE  ALT=\"%28-16%2B30i%29%2F%2834%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-16%29%2F%2834%29%2B%2830%29%2F%2834%29i ALIGN=MIDDLE  ALT=\"%28-16%29%2F%2834%29%2B%2830%29%2F%2834%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the fraction.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8%2F17%2B%2815%2F17%29i ALIGN=MIDDLE  ALT=\"-8%2F17%2B%2815%2F17%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "===================================\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answer:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2B5i%29%2F%283-5i%29=-8%2F17%2B%2815%2F17%29i ALIGN=MIDDLE  ALT=\"%283%2B5i%29%2F%283-5i%29=-8%2F17%2B%2815%2F17%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the expression is now in standard form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bbi ALIGN=MIDDLE  ALT=\"a%2Bbi\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-8%2F17 ALIGN=MIDDLE  ALT=\"a=-8%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=15%2F17 ALIGN=MIDDLE  ALT=\"b=15%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );