document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76470>Question 76470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify: (16-x^2)/(x^3 - 2x^2 - 8x)\r<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 #54848 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=54848\">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=+%2816-x%5E2%29%2F%28x%5E3+-+2x%5E2+-+8x%29 ALIGN=MIDDLE  ALT=\"+%2816-x%5E2%29%2F%28x%5E3+-+2x%5E2+-+8x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "The expression in the numerator is in the form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+b%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+-+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "The expansion of this is:  (a + b)(a - b) \r<BR>\n" );
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document.write( "The numerator can be written as:  (4 + x)(4 - x)\r<BR>\n" );
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document.write( "And in the denominator: we can take x as the common factor and hence the denominator can be written as:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%5E2+-+2x+-+8%29 ALIGN=MIDDLE  ALT=\"x%28x%5E2+-+2x+-+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "This can be factored as:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x+%2B+2%29%28x+-+4%29 ALIGN=MIDDLE  ALT=\"x%28x+%2B+2%29%28x+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Hence, the 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=%28%284+%2B+x%29%284+-+x%29%29%2Fx%28x+%2B+2%29%28x+-+4%29 ALIGN=MIDDLE  ALT=\"%28%284+%2B+x%29%284+-+x%29%29%2Fx%28x+%2B+2%29%28x+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Taking the negative sign in the numerator, we get: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%284+%2B+x%29%28x+-+4%29%2Fx%28x+%2B+2%29%28x+-+4%29 ALIGN=MIDDLE  ALT=\"-%284+%2B+x%29%28x+-+4%29%2Fx%28x+%2B+2%29%28x+-+4%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=+%28-4+-+x%29%28cross%28x+-+4%29%29%2Fx%28x+%2B+2%29%28cross%28x+-+4%29%29 ALIGN=MIDDLE  ALT=\"+%28-4+-+x%29%28cross%28x+-+4%29%29%2Fx%28x+%2B+2%29%28cross%28x+-+4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Thus, the final expression is: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-x+-+4%29%2Fx%28x+%2B+2%29 ALIGN=MIDDLE  ALT=\"%28-x+-+4%29%2Fx%28x+%2B+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "OR \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-%28x+%2B+4%29%29%2Fx%28x+%2B+2%29 ALIGN=MIDDLE  ALT=\"+%28-%28x+%2B+4%29%29%2Fx%28x+%2B+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence, the solution.\r<BR>\n" );
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