document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162547>Question 1162547</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the partial fraction decomposition of the following rational expression.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%288x%5E2%2B10x%2B20%29%2Fx%28x%2B4%29%28x%2B5%29+ ALIGN=MIDDLE  ALT=\"+%288x%5E2%2B10x%2B20%29%2Fx%28x%2B4%29%28x%2B5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #786372 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=786372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x%5E2%2B10x%2B20%29%2F%28x%28x%2B4%29%28x%2B5%29%29+=+A%2Fx%2BB%2F%28x%2B4%29%2BC%2F%28x%2B5%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Multiply by the least common denominator....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%28x%2B4%29%28x%2B5%29%2BB%28x%29%28x%2B5%29%2BC%28x%29%28x%2B4%29+=+8x%5E2%2B10x%2B20 ALIGN=MIDDLE  ALT=\"A%28x%2B4%29%28x%2B5%29%2BB%28x%29%28x%2B5%29%2BC%28x%29%28x%2B4%29+=+8x%5E2%2B10x%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%28x%5E2%2B9x%2B20%29%2BB%28x%5E2%2B5x%29%2BC%28x%5E2%2B4x%29+=+8x%5E2%2B10x%2B20 ALIGN=MIDDLE  ALT=\"A%28x%5E2%2B9x%2B20%29%2BB%28x%5E2%2B5x%29%2BC%28x%5E2%2B4x%29+=+8x%5E2%2B10x%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Equate coefficients:<br><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB%2BC+=+8 ALIGN=MIDDLE  ALT=\"A%2BB%2BC+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9A%2B5B%2B4C+=+10 ALIGN=MIDDLE  ALT=\"9A%2B5B%2B4C+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20A+=+20 ALIGN=MIDDLE  ALT=\"20A+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Equation (3) immediately gives us A=1.  Substituting in (1) and (2) gives us<br><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2BC+=+7 ALIGN=MIDDLE  ALT=\"B%2BC+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5B%2B4C+=+1 ALIGN=MIDDLE  ALT=\"5B%2B4C+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve by elimination....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4B%2B4C+=+28 ALIGN=MIDDLE  ALT=\"4B%2B4C+=+28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4B%2B5C+=+1 ALIGN=MIDDLE  ALT=\"4B%2B5C+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+-27 ALIGN=MIDDLE  ALT=\"C+=+-27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+34 ALIGN=MIDDLE  ALT=\"B+=+34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x%5E2%2B10x%2B20%29%2F%28x%28x%2B4%29%28x%2B5%29%29+=+1%2Fx%2B34%2F%28x%2B4%29-27%2F%28x%2B5%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );