document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151572>Question 151572</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operation..\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%2B4i%29%282-6i%29+ ALIGN=MIDDLE  ALT=\"+%283%2B4i%29%282-6i%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=+%286%2B3i%29%2F%282%2B2i%29+ ALIGN=MIDDLE  ALT=\"+%286%2B3i%29%2F%282%2B2i%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111429 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=111429\">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=+%289-8i%29%2B%287%2B2i%29+ ALIGN=MIDDLE  ALT=\"+%289-8i%29%2B%287%2B2i%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=+%289%2B7%29%2B%28-8i%2B2i%29+ ALIGN=MIDDLE  ALT=\"+%289%2B7%29%2B%28-8i%2B2i%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Group like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16-6i+ ALIGN=MIDDLE  ALT=\"+16-6i+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289-8i%29%2B%287%2B2i%29=16-6i ALIGN=MIDDLE  ALT=\"%289-8i%29%2B%287%2B2i%29=16-6i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the expression 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=16 ALIGN=MIDDLE  ALT=\"a=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-6 ALIGN=MIDDLE  ALT=\"b=-6\"   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=%283%2B4i%29%282-6i%29 ALIGN=MIDDLE  ALT=\"%283%2B4i%29%282-6i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "Now let's FOIL the expression.\r<BR>\n" );
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document.write( "Remember, when you FOIL an expression, you follow this procedure:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%283%29%2B4i%29%28highlight%282%29-6i%29 ALIGN=MIDDLE  ALT=\"%28highlight%283%29%2B4i%29%28highlight%282%29-6i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">F</font>irst terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%29%2A%282%29=6 ALIGN=MIDDLE  ALT=\"%283%29%2A%282%29=6\"   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=%28highlight%283%29%2B4i%29%282%2Bhighlight%28-6i%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%283%29%2B4i%29%282%2Bhighlight%28-6i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">O</font>uter terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%29%2A%28-6%2Ai%29=-18%2Ai ALIGN=MIDDLE  ALT=\"%283%29%2A%28-6%2Ai%29=-18%2Ai\"   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=%283%2Bhighlight%284i%29%29%28highlight%282%29-6i%29 ALIGN=MIDDLE  ALT=\"%283%2Bhighlight%284i%29%29%28highlight%282%29-6i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">I</font>nner terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2Ai%29%2A%282%29=8%2Ai ALIGN=MIDDLE  ALT=\"%284%2Ai%29%2A%282%29=8%2Ai\"   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=%283%2Bhighlight%284i%29%29%282%2Bhighlight%28-6i%29%29 ALIGN=MIDDLE  ALT=\"%283%2Bhighlight%284i%29%29%282%2Bhighlight%28-6i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">L</font>ast terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2Ai%29%2A%28-6%2Ai%29=-24%2Ai%5E2=-24%28-1%29=24 ALIGN=MIDDLE  ALT=\"%284%2Ai%29%2A%28-6%2Ai%29=-24%2Ai%5E2=-24%28-1%29=24\"   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=6-18%2Ai%2B8%2Ai%2B24 ALIGN=MIDDLE  ALT=\"6-18%2Ai%2B8%2Ai%2B24\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now collect every term to make a single expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30-10%2Ai ALIGN=MIDDLE  ALT=\"30-10%2Ai\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now combine like terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2B4i%29%282-6i%29 ALIGN=MIDDLE  ALT=\"%283%2B4i%29%282-6i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILS to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30-10%2Ai ALIGN=MIDDLE  ALT=\"30-10%2Ai\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2B4i%29%282-6i%29=30-10%2Ai ALIGN=MIDDLE  ALT=\"%283%2B4i%29%282-6i%29=30-10%2Ai\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So the expression 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=30 ALIGN=MIDDLE  ALT=\"a=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-10 ALIGN=MIDDLE  ALT=\"b=-10\"   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=%286%2B3i%29%2F%282%2B2i%29 ALIGN=MIDDLE  ALT=\"%286%2B3i%29%2F%282%2B2i%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%286%2B3i%29%2F%282%2B2i%29%29%28%282-2i%29%2F%282-2i%29%29 ALIGN=MIDDLE  ALT=\"%28%286%2B3i%29%2F%282%2B2i%29%29%28%282-2i%29%2F%282-2i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply by the fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-2i%29%2F%282-2i%29 ALIGN=MIDDLE  ALT=\"%282-2i%29%2F%282-2i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Note  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2-2i ALIGN=MIDDLE  ALT=\"2-2i\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the conjugate of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2B2i ALIGN=MIDDLE  ALT=\"2%2B2i\"   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%286%2B3i%29%282-2i%29%29%2F%28%282%2B2i%29%282-2i%29%29 ALIGN=MIDDLE  ALT=\"%28%286%2B3i%29%282-2i%29%29%2F%28%282%2B2i%29%282-2i%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%286%2B3i%29%282-2i%29%29%2F%284%2B4i-4i-4i%5E2%29 ALIGN=MIDDLE  ALT=\"%28%286%2B3i%29%282-2i%29%29%2F%284%2B4i-4i-4i%5E2%29\"   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=%28%286%2B3i%29%282-2i%29%29%2F%284-4i%5E2%29 ALIGN=MIDDLE  ALT=\"%28%286%2B3i%29%282-2i%29%29%2F%284-4i%5E2%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=%28%286%2B3i%29%282-2i%29%29%2F%284-4%28-1%29%29 ALIGN=MIDDLE  ALT=\"%28%286%2B3i%29%282-2i%29%29%2F%284-4%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <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;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   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%286%2B3i%29%282-2i%29%29%2F%284%2B4%29 ALIGN=MIDDLE  ALT=\"%28%286%2B3i%29%282-2i%29%29%2F%284%2B4%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=%28%286%2B3i%29%282-2i%29%29%2F%288%29 ALIGN=MIDDLE  ALT=\"%28%286%2B3i%29%282-2i%29%29%2F%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812-12i%2B6i-6i%5E2%29%2F%288%29 ALIGN=MIDDLE  ALT=\"%2812-12i%2B6i-6i%5E2%29%2F%288%29\"   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=%2812-12i%2B6i-6%28-1%29%29%2F%288%29 ALIGN=MIDDLE  ALT=\"%2812-12i%2B6i-6%28-1%29%29%2F%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <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;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   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=%2812-12i%2B6i%2B6%29%2F%288%29 ALIGN=MIDDLE  ALT=\"%2812-12i%2B6i%2B6%29%2F%288%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=%2818-6i%29%2F%288%29 ALIGN=MIDDLE  ALT=\"%2818-6i%29%2F%288%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=%2818%29%2F%288%29-%286i%29%2F%288%29 ALIGN=MIDDLE  ALT=\"%2818%29%2F%288%29-%286i%29%2F%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the fraction\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%29%2F%284%29-%283%2F4%29i ALIGN=MIDDLE  ALT=\"%289%29%2F%284%29-%283%2F4%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2B3i%29%2F%282%2B2i%29=%289%29%2F%284%29-%283%2F4%29i ALIGN=MIDDLE  ALT=\"%286%2B3i%29%2F%282%2B2i%29=%289%29%2F%284%29-%283%2F4%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "So the expression 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=9%2F4 ALIGN=MIDDLE  ALT=\"a=9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3%2F4 ALIGN=MIDDLE  ALT=\"b=3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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