document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=318436>Question 318436</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2+i/7-5i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #227895 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=227895\">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=%282%2Bi%29%2F%287-5i%29 ALIGN=MIDDLE  ALT=\"%282%2Bi%29%2F%287-5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2Bi%29%2F%287-5i%29%29%28%287%2B5i%29%2F%287%2B5i%29%29 ALIGN=MIDDLE  ALT=\"%28%282%2Bi%29%2F%287-5i%29%29%28%287%2B5i%29%2F%287%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=%287%2B5i%29%2F%287%2B5i%29 ALIGN=MIDDLE  ALT=\"%287%2B5i%29%2F%287%2B5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2Bi%29%287%2B5i%29%29%2F%28%287-5i%29%287%2B5i%29%29 ALIGN=MIDDLE  ALT=\"%28%282%2Bi%29%287%2B5i%29%29%2F%28%287-5i%29%287%2B5i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%29%287%29%2B%282%29%285i%29%2B%28i%29%287%29%2B%28i%29%285i%29%29%2F%28%287-5i%29%287%2B5i%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the numerator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%29%287%29%2B%282%29%285i%29%2B%28i%29%287%29%2B%28i%29%285i%29%29%2F%28%287%29%287%29%2B%287%29%285i%29%2B%28-5i%29%287%29%2B%28-5i%29%285i%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2814%2B10i%2B7i%2B5i%5E2%29%2F%2849%2B35i-35i-25i%5E2%29 ALIGN=MIDDLE  ALT=\"%2814%2B10i%2B7i%2B5i%5E2%29%2F%2849%2B35i-35i-25i%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2814%2B10i%2B7i%2B5%28-1%29%29%2F%2849%2B35i-35i-25%28-1%29%29 ALIGN=MIDDLE  ALT=\"%2814%2B10i%2B7i%2B5%28-1%29%29%2F%2849%2B35i-35i-25%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" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2814%2B10i%2B7i-5%29%2F%2849%2B35i-35i%2B25%29 ALIGN=MIDDLE  ALT=\"%2814%2B10i%2B7i-5%29%2F%2849%2B35i-35i%2B25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2B17i%29%2F%2874%29 ALIGN=MIDDLE  ALT=\"%289%2B17i%29%2F%2874%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F74%2B%2817%2F74%29i ALIGN=MIDDLE  ALT=\"9%2F74%2B%2817%2F74%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the fraction.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Bi%29%2F%287-5i%29=9%2F74%2B%2817%2F74%29i ALIGN=MIDDLE  ALT=\"%282%2Bi%29%2F%287-5i%29=9%2F74%2B%2817%2F74%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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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=9%2F74 ALIGN=MIDDLE  ALT=\"a=9%2F74\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=17%2F74 ALIGN=MIDDLE  ALT=\"b=17%2F74\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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