document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76390>Question 76390</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can i get help adding and subtracting \r<BR>\n" );
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document.write( "2x^2+3x<BR>\n" );
document.write( "over<BR>\n" );
document.write( "x^2-2x-63<BR>\n" );
document.write( "plus<BR>\n" );
document.write( "7-x<BR>\n" );
document.write( "over<BR>\n" );
document.write( "x^2-2x-63<BR>\n" );
document.write( "minus<BR>\n" );
document.write( "x^2-3x+21<BR>\n" );
document.write( "over<BR>\n" );
document.write( "x^2-2x-63<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54800 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given expression is: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%282x%5E2+-+3x%29%2F%28x%5E2+-+2x+-+63%29%29++%2B++++%28%287-x%29%2F%28x%5E2+-+2x+-+63%29%29++-+++%28%28x%5E2+-+3x+%2B+21%29%2F%28x%5E2+-+2x+-+63%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Since the denominators is the same for all the 3 expressions, the LCM will be the smae. That is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+-+2x+-+63%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+-+2x+-+63%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Hence, the given expression can be written as:  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2+%2B+3x+%2B+7+-+x+-+%28x%5E2+-+3x+%2B+21%29%29%2F%28x%5E2+-+2x+-+63%29 ALIGN=MIDDLE  ALT=\"%282x%5E2+%2B+3x+%2B+7+-+x+-+%28x%5E2+-+3x+%2B+21%29%29%2F%28x%5E2+-+2x+-+63%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "This can be written as:  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2+%2B+3x+%2B+7+-+x+-+x%5E2+%2B+3x+-+21%29%2F%28x%5E2+-+2x+-+63%29 ALIGN=MIDDLE  ALT=\"%282x%5E2+%2B+3x+%2B+7+-+x+-+x%5E2+%2B+3x+-+21%29%2F%28x%5E2+-+2x+-+63%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplifying this further, we get: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+%2B+5x+-+14%29%2F%28x%5E2+-+2x+-+63%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+%2B+5x+-+14%29%2F%28x%5E2+-+2x+-+63%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Here, both the numerator and the denominator can be factored and can be written as: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%28x+%2B+7%29+-+2%28x+%2B+7%29%29%2F%28x%28x+-+9%29+%2B+7%28x+-+9%29%29 ALIGN=MIDDLE  ALT=\"%28x%28x+%2B+7%29+-+2%28x+%2B+7%29%29%2F%28x%28x+-+9%29+%2B+7%28x+-+9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "This can be written as: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+2%29%28x+%2B+7%29%2F%28x+%2B+7%29%28x+-+9%29 ALIGN=MIDDLE  ALT=\"%28x+-+2%29%28x+%2B+7%29%2F%28x+%2B+7%29%28x+-+9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Here we observe that (x + 7) is present  both in the numerator and the denominator. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+2%29%2A+cross%28%28x+%2B+7%29%29%2F%28x+-+9%29%2Fcross%28%28x+%2B+7%29%29 ALIGN=MIDDLE  ALT=\"%28x+%2B+2%29%2A+cross%28%28x+%2B+7%29%29%2F%28x+-+9%29%2Fcross%28%28x+%2B+7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence, we remain with \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+2%29%2F%28x+-9%29 ALIGN=MIDDLE  ALT=\"%28x+%2B+2%29%2F%28x+-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thus, the solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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