document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193726>Question 193726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> z^2/ z-3 -  z/z+3\r<BR>\n" );
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document.write( "answer: z3 + 2z^2 + 3z/ (z-3) (z+3)\r<BR>\n" );
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document.write( "anyone can give me a full break down on why the answer is z3 +2z^2 +3z </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145398 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=145398\">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=%28z%5E2%29%2F%28z-3%29+-+z%2F%28z%2B3%29 ALIGN=MIDDLE  ALT=\"%28z%5E2%29%2F%28z-3%29+-+z%2F%28z%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "Take note that the LCD is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z-3%29%28z%2B3%29 ALIGN=MIDDLE  ALT=\"%28z-3%29%28z%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Note: in this case, you simply multiply ALL of the denominators to get the LCD.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E2%28z%2B3%29%29%2F%28%28z-3%29%28z%2B3%29%29+-+z%2F%28z%2B3%29 ALIGN=MIDDLE  ALT=\"%28z%5E2%28z%2B3%29%29%2F%28%28z-3%29%28z%2B3%29%29+-+z%2F%28z%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%2B3%29%2F%28z%2B3%29 ALIGN=MIDDLE  ALT=\"%28z%2B3%29%2F%28z%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get the first denominator equal to the LCD\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E3%2B3z%5E2%29%2F%28%28z-3%29%28z%2B3%29%29+-+z%2F%28z%2B3%29 ALIGN=MIDDLE  ALT=\"%28z%5E3%2B3z%5E2%29%2F%28%28z-3%29%28z%2B3%29%29+-+z%2F%28z%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E3%2B3z%5E2%29%2F%28%28z-3%29%28z%2B3%29%29+-+%28z%28z-3%29%29%2F%28%28z-3%29%28z%2B3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z-3%29%2F%28z-3%29 ALIGN=MIDDLE  ALT=\"%28z-3%29%2F%28z-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get the second denominator equal to the LCD\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E3%2B3z%5E2%29%2F%28%28z-3%29%28z%2B3%29%29+-+%28z%5E2-3z%29%2F%28%28z-3%29%28z%2B3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E3%2B3z%5E2-+%28z%5E2-3z%29%29%2F%28%28z-3%29%28z%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28z%5E3%2B3z%5E2-+%28z%5E2-3z%29%29%2F%28%28z-3%29%28z%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now that the fractions are equal, combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E3%2B3z%5E2-+z%5E2%2B3z%29%2F%28%28z-3%29%28z%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28z%5E3%2B3z%5E2-+z%5E2%2B3z%29%2F%28%28z-3%29%28z%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E3%2B2z%5E2%2B3z%29%2F%28%28z-3%29%28z%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28z%5E3%2B2z%5E2%2B3z%29%2F%28%28z-3%29%28z%2B3%29%29\"   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=%28z%5E2%29%2F%28z-3%29+-+z%2F%28z%2B3%29=%28z%5E3%2B2z%5E2%2B3z%29%2F%28%28z-3%29%28z%2B3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%3C%3E-3 ALIGN=MIDDLE  ALT=\"z%3C%3E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%3C%3E3 ALIGN=MIDDLE  ALT=\"z%3C%3E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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