document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=243034>Question 243034</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is d^2+3d/ d^2-2d minus -4/d? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178186 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=178186\">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=+%0D%0A%28%28d%5E2%2B3d%29%2F%28d%5E2-2d%29%29-%28-4%2Fd%29%0D%0A ALIGN=MIDDLE  ALT=\"+%0D%0A%28%28d%5E2%2B3d%29%2F%28d%5E2-2d%29%29-%28-4%2Fd%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Minus a -4/d is the same as adding it.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%0D%0A%28%28d%5E2%2B3d%29%2F%28d%5E2-2d%29%29%2B%284%2Fd%29%0D%0A ALIGN=MIDDLE  ALT=\"+%0D%0A%28%28d%5E2%2B3d%29%2F%28d%5E2-2d%29%29%2B%284%2Fd%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "You can factor a 'd' from the numerator and denominator of the first part:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%0D%0A%28d%28d%2B3%29%2Fd%28d-2%29%29%2B%284%2Fd%29%0D%0A ALIGN=MIDDLE  ALT=\"+%0D%0A%28d%28d%2B3%29%2Fd%28d-2%29%29%2B%284%2Fd%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Then you can 'cancel' d/d because it is just 1.<BR>\n" );
document.write( "You can factor a 'd' from the numerator and denominator of the first part:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%0D%0A%28%28d%2B3%29%2F%28d-2%29%29%2B%284%2Fd%29%0D%0A ALIGN=MIDDLE  ALT=\"+%0D%0A%28%28d%2B3%29%2F%28d-2%29%29%2B%284%2Fd%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Solving any faction, we create a common denominator, which in this case would be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Ad%2A%28d-2%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0Ad%2A%28d-2%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Ad%28d%2B3%29%2Fd%28d-2%29+%2B+4%28d-2%29%2Fd%28d-2%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0Ad%28d%2B3%29%2Fd%28d-2%29+%2B+4%28d-2%29%2Fd%28d-2%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Now we simply combine the fractions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A%28d%28d%2B3%29+%2B+4%28d-2%29%29+%2F+d%28d-2%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0A%28d%28d%2B3%29+%2B+4%28d-2%29%29+%2F+d%28d-2%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A%28d%5E2+%2B+3d+%2B+4d+-+8%29+%2F+d%28d-2%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0A%28d%5E2+%2B+3d+%2B+4d+-+8%29+%2F+d%28d-2%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A%28d%5E2+%2B+7d+-+8%29+%2F+d%28d-2%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0A%28d%5E2+%2B+7d+-+8%29+%2F+d%28d-2%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Can we factor the quadratic in the numerator?  <BR>\n" );
document.write( "Well, the factors of 8 are 1 * 8 and 2 * 4.  We know they are opposite sign  because we have -8.  And we need them to total 7, which we can do with +8 and -1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A%28%28d+-+1%29%28d+%2B+8%29%29+%2F+d%28d-2%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0A%28%28d+-+1%29%28d+%2B+8%29%29+%2F+d%28d-2%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "That's as far as we can go. </SPAN>\n" );
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