document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=219581>Question 219581</A>: <I><SPAN STYLE=\"word-break: break-all;\">    6 <BR>\n" );
document.write( " _____<BR>\n" );
document.write( " 5 + i\r<BR>\n" );
document.write( "\n" );
document.write( "i am suppose to write the result in standard form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165102 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=165102\">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=6%2F%285%2Bi%29 ALIGN=MIDDLE  ALT=\"6%2F%285%2Bi%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=%286%2F%285%2Bi%29%29%28%285-i%29%2F%285-i%29%29 ALIGN=MIDDLE  ALT=\"%286%2F%285%2Bi%29%29%28%285-i%29%2F%285-i%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=%285-i%29%2F%285-i%29 ALIGN=MIDDLE  ALT=\"%285-i%29%2F%285-i%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=%286%285-i%29%29%2F%28%285%2Bi%29%285-i%29%29 ALIGN=MIDDLE  ALT=\"%286%285-i%29%29%2F%28%285%2Bi%29%285-i%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%286%29%285%29%2B%286%29%28-i%29%29%2F%28%285%2Bi%29%285-i%29%29 ALIGN=MIDDLE  ALT=\"%28%286%29%285%29%2B%286%29%28-i%29%29%2F%28%285%2Bi%29%285-i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\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%286%29%285%29%2B%286%29%28-i%29%29%2F%28%285%29%285%29%2B%285%29%28-i%29%2B%28i%29%285%29%2B%28i%29%28-i%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=%2830-6i%29%2F%2825-5i%2B5i-i%5E2%29 ALIGN=MIDDLE  ALT=\"%2830-6i%29%2F%2825-5i%2B5i-i%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=%2830-6i%29%2F%2825-5i%2B5i-%28-1%29%29 ALIGN=MIDDLE  ALT=\"%2830-6i%29%2F%2825-5i%2B5i-%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2 ALIGN=MIDDLE  ALT=\"i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > with -1.\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=%2830-6i%29%2F%2825-5i%2B5i%2B1%29 ALIGN=MIDDLE  ALT=\"%2830-6i%29%2F%2825-5i%2B5i%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\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=%2830-6i%29%2F%2826%29 ALIGN=MIDDLE  ALT=\"%2830-6i%29%2F%2826%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=%2830%29%2F%2826%29%2B%28%28-6%29%2F%2826%29%29i ALIGN=MIDDLE  ALT=\"%2830%29%2F%2826%29%2B%28%28-6%29%2F%2826%29%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=15%2F13-%283%2F13%29i ALIGN=MIDDLE  ALT=\"15%2F13-%283%2F13%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( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%285%2Bi%29=15%2F13-%283%2F13%29i ALIGN=MIDDLE  ALT=\"6%2F%285%2Bi%29=15%2F13-%283%2F13%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is 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=15%2F13 ALIGN=MIDDLE  ALT=\"a=15%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-3%2F13 ALIGN=MIDDLE  ALT=\"b=-3%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );