document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149914>Question 149914</A>: <I><SPAN STYLE=\"word-break: break-all;\"> subtract and simply \r<BR>\n" );
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document.write( "a        -        c<BR>\n" );
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document.write( "ac-c2    -     a2-ac\r<BR>\n" );
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document.write( "c2 is c squared and a2 is a squared \r<BR>\n" );
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document.write( "thank you    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110009 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=110009\">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=%28a%29%2F%28ac-c%5E2%29-%28c%29%2F%28a%5E2-ac%29 ALIGN=MIDDLE  ALT=\"%28a%29%2F%28ac-c%5E2%29-%28c%29%2F%28a%5E2-ac%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=%28a%29%2F%28c%28a-c%29%29-%28c%29%2F%28a%5E2-ac%29 ALIGN=MIDDLE  ALT=\"%28a%29%2F%28c%28a-c%29%29-%28c%29%2F%28a%5E2-ac%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ac-c%5E2 ALIGN=MIDDLE  ALT=\"ac-c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%28a-c%29 ALIGN=MIDDLE  ALT=\"c%28a-c%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=%28a%29%2F%28c%28a-c%29%29-%28c%29%2F%28a%28a-c%29%29 ALIGN=MIDDLE  ALT=\"%28a%29%2F%28c%28a-c%29%29-%28c%29%2F%28a%28a-c%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2-ac ALIGN=MIDDLE  ALT=\"a%5E2-ac\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28a-c%29 ALIGN=MIDDLE  ALT=\"a%28a-c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice how the LCD is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ac%28a-c%29 ALIGN=MIDDLE  ALT=\"ac%28a-c%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=%28a%2Fa%29%28%28a%29%2F%28c%28a-c%29%29%29-%28c%29%2F%28a%28a-c%29%29 ALIGN=MIDDLE  ALT=\"%28a%2Fa%29%28%28a%29%2F%28c%28a-c%29%29%29-%28c%29%2F%28a%28a-c%29%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=a%2Fa ALIGN=MIDDLE  ALT=\"a%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This will make the first fraction have a denominator of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ac%28a-c%29 ALIGN=MIDDLE  ALT=\"ac%28a-c%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=%28a%5E2%29%2F%28ac%28a-c%29%29-%28c%29%2F%28a%28a-c%29%29 ALIGN=MIDDLE  ALT=\"%28a%5E2%29%2F%28ac%28a-c%29%29-%28c%29%2F%28a%28a-c%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions and multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2%29%2F%28ac%28a-c%29%29-%28c%2Fc%29%28%28c%29%2F%28a%28a-c%29%29%29 ALIGN=MIDDLE  ALT=\"%28a%5E2%29%2F%28ac%28a-c%29%29-%28c%2Fc%29%28%28c%29%2F%28a%28a-c%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Fc ALIGN=MIDDLE  ALT=\"c%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This will make the second fraction have a denominator of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ac%28a-c%29 ALIGN=MIDDLE  ALT=\"ac%28a-c%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=%28a%5E2%29%2F%28ac%28a-c%29%29-%28c%5E2%29%2F%28ac%28a-c%29%29 ALIGN=MIDDLE  ALT=\"%28a%5E2%29%2F%28ac%28a-c%29%29-%28c%5E2%29%2F%28ac%28a-c%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions and multiply.\r<BR>\n" );
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document.write( "Since the denominators are now equal, this means that 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=%28a%5E2-c%5E2%29%2F%28ac%28a-c%29%29 ALIGN=MIDDLE  ALT=\"%28a%5E2-c%5E2%29%2F%28ac%28a-c%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the numerators over the common denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2Bc%29%28a-c%29%29%2F%28ac%28a-c%29%29 ALIGN=MIDDLE  ALT=\"%28%28a%2Bc%29%28a-c%29%29%2F%28ac%28a-c%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2-c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2-c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bc%29%28a-c%29 ALIGN=MIDDLE  ALT=\"%28a%2Bc%29%28a-c%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%28a%2Bc%29highlight%28%28a-c%29%29%29%2F%28ac%2Ahighlight%28%28a-c%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28a%2Bc%29highlight%28%28a-c%29%29%29%2F%28ac%2Ahighlight%28%28a-c%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2Bc%29cross%28%28a-c%29%29%29%2F%28ac%2Across%28%28a-c%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28a%2Bc%29cross%28%28a-c%29%29%29%2F%28ac%2Across%28%28a-c%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bc%29%2F%28ac%29 ALIGN=MIDDLE  ALT=\"%28a%2Bc%29%2F%28ac%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%29%2F%28ac-c%5E2%29-%28c%29%2F%28a%5E2-ac%29 ALIGN=MIDDLE  ALT=\"%28a%29%2F%28ac-c%5E2%29-%28c%29%2F%28a%5E2-ac%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bc%29%2F%28ac%29 ALIGN=MIDDLE  ALT=\"%28a%2Bc%29%2F%28ac%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
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