document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196726>Question 196726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am really struggling with Rational Expressions with Unlike Denominators. For example, this one I cannot match to the answer:  a/4a^2-1  + 4/2a-1   +2. If you could please help me, I'd appreciate it </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147449 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=147449\">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=a%2F%284a%5E2-1%29%2B4%2F%282a-1%29%2B2 ALIGN=MIDDLE  ALT=\"a%2F%284a%5E2-1%29%2B4%2F%282a-1%29%2B2\"   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=a%2F%28%282a-1%29%282a%2B1%29%29%2B4%2F%282a-1%29%2B2 ALIGN=MIDDLE  ALT=\"a%2F%28%282a-1%29%282a%2B1%29%29%2B4%2F%282a-1%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the first denominator.\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=%282a-1%29%282a%2B1%29 ALIGN=MIDDLE  ALT=\"%282a-1%29%282a%2B1%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=a%2F%28%282a-1%29%282a%2B1%29%29%2B%284%282a%2B1%29%29%2F%28%282a-1%29%282a%2B1%29%29%2B2 ALIGN=MIDDLE  ALT=\"a%2F%28%282a-1%29%282a%2B1%29%29%2B%284%282a%2B1%29%29%2F%28%282a-1%29%282a%2B1%29%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282a%2B1%29%2F%282a%2B1%29 ALIGN=MIDDLE  ALT=\"%282a%2B1%29%2F%282a%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get the 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=a%2F%28%282a-1%29%282a%2B1%29%29%2B%288a%2B4%29%2F%28%282a-1%29%282a%2B1%29%29%2B2 ALIGN=MIDDLE  ALT=\"a%2F%28%282a-1%29%282a%2B1%29%29%2B%288a%2B4%29%2F%28%282a-1%29%282a%2B1%29%29%2B2\"   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=a%2F%28%282a-1%29%282a%2B1%29%29%2B%288a%2B4%29%2F%28%282a-1%29%282a%2B1%29%29%2B2%28%28%282a-1%29%282a%2B1%29%29%2F%28%282a-1%29%282a%2B1%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the third term \"2\" by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282a-1%29%282a%2B1%29%29%2F%28%282a-1%29%282a%2B1%29%29 ALIGN=MIDDLE  ALT=\"%28%282a-1%29%282a%2B1%29%29%2F%28%282a-1%29%282a%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get the 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=a%2F%28%282a-1%29%282a%2B1%29%29%2B%288a%2B4%29%2F%28%282a-1%29%282a%2B1%29%29%2B%282%28%282a-1%29%282a%2B1%29%29%2F%28%282a-1%29%282a%2B1%29%29%29 ALIGN=MIDDLE   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=a%2F%28%282a-1%29%282a%2B1%29%29%2B%288a%2B4%29%2F%28%282a-1%29%282a%2B1%29%29%2B%282%284a%5E2-1%29%29%2F%28%282a-1%29%282a%2B1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F%28%282a-1%29%282a%2B1%29%29%2B%288a%2B4%29%2F%28%282a-1%29%282a%2B1%29%29%2B%288a%5E2-2%29%2F%28%282a-1%29%282a%2B1%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=%28a%2B8a%2B4%2B8a%5E2-2%29%2F%28%282a-1%29%282a%2B1%29%29 ALIGN=MIDDLE  ALT=\"%28a%2B8a%2B4%2B8a%5E2-2%29%2F%28%282a-1%29%282a%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now that all the denominators are equal, we can combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288a%5E2%2B9a%2B2%29%2F%28%282a-1%29%282a%2B1%29%29 ALIGN=MIDDLE  ALT=\"%288a%5E2%2B9a%2B2%29%2F%28%282a-1%29%282a%2B1%29%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=%288a%5E2%2B9a%2B2%29%2F%284a%5E2-1%29 ALIGN=MIDDLE  ALT=\"%288a%5E2%2B9a%2B2%29%2F%284a%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the denominator.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F%284a%5E2-1%29%2B4%2F%282a-1%29%2B2=%288a%5E2%2B9a%2B2%29%2F%284a%5E2-1%29 ALIGN=MIDDLE  ALT=\"a%2F%284a%5E2-1%29%2B4%2F%282a-1%29%2B2=%288a%5E2%2B9a%2B2%29%2F%284a%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3C%3E-1%2F2 ALIGN=MIDDLE  ALT=\"a%3C%3E-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3C%3E1%2F2 ALIGN=MIDDLE  ALT=\"a%3C%3E1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( " </SPAN>\n" );
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