document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=15694>Question 15694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please can you resolve this into partial fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2F+%28x-1%29%28x%5E2+-+4%29 ALIGN=MIDDLE  ALT=\"x+%2F+%28x-1%29%28x%5E2+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   <BR>\n" );
document.write( "      <BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #7757 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=7757\">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=x+%2F+%28x-1%29%28x%5E2+-+4%29 ALIGN=MIDDLE  ALT=\"x+%2F+%28x-1%29%28x%5E2+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28%28x-1%29%28x%2B2%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"x%2F%28%28x-1%29%28x%2B2%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  Let this be equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F%28x-1%29%2Bb%2F%28x%2B2%29%2Bc%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"a%2F%28x-1%29%2Bb%2F%28x%2B2%29%2Bc%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%28x%2B2%29%28x-2%29%2Bb%28x-1%29%28x-2%29%2Bc%28x-1%29%28x%2B2%29%29%2F%28x-1%29%28x%2B2%29%28x-2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >=<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28%28x-1%29%28x%2B2%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"x%2F%28%28x-1%29%28x%2B2%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " Since denominators are same , equating the numerators we get <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x%2B2%29%28x-2%29%2Bb%28x-1%29%28x-2%29%2Bc%28x-1%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"a%28x%2B2%29%28x-2%29%2Bb%28x-1%29%28x-2%29%2Bc%28x-1%29%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=x<BR>\n" );
document.write( " since this is an identity , it is true for any value of x <BR>\n" );
document.write( " hence take x=1,and -2 and 2 to get a ,b , c values<BR>\n" );
document.write( "  for x=1 ,we have <BR>\n" );
document.write( "   a(1+2)(1-2)=1 <BR>\n" );
document.write( "a = -1/3  similarly we get b=-2/12=-1/6  and c=2/4 = 1/2<BR>\n" );
document.write( "  hence <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2F+%28x-1%29%28x%5E2+-+4%29 ALIGN=MIDDLE  ALT=\"x+%2F+%28x-1%29%28x%5E2+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%2F%283%2A%28x-1%29%29-%281%29%2F%286%2A%28x%2B2%29%29%2B%281%29%2F%282%2A%28x-2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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