document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=768064>Question 768064</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let g(x)=3x-x^2.  Find the difference quotient of g.\r<BR>\n" );
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document.write( "Here's what I have:  (but, the -x^2 is causing me trouble).  Are you able to tell me where I'm messing up?  Here's what I have so far:<BR>\n" );
document.write( "(x+h)^2+3(x+h)-(-x^2+3x)/h.<BR>\n" );
document.write( "x^2+2xh+H^2+3x+3h+x^2-3x/h.<BR>\n" );
document.write( "2x^2+2xh+h^2+3h/h.<BR>\n" );
document.write( "2x^2+2x+h+3.<BR>\n" );
document.write( "Something tells me this is not correct, though.  Will you help me?!? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468049 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=468049\">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=%28g%28x%2Bh%29-g%28x%29%29%2Fh ALIGN=MIDDLE  ALT=\"%28g%28x%2Bh%29-g%28x%29%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%28x%2Bh%29-%28x%2Bh%29%5E2%29-%283x-x%5E2%29%29%2Fh ALIGN=MIDDLE  ALT=\"%28%283%28x%2Bh%29-%28x%2Bh%29%5E2%29-%283x-x%5E2%29%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B3h-%28x%5E2%2B2xh%2Bh%5E2%29-%283x2-x%5E2%29%29%2Fh ALIGN=MIDDLE  ALT=\"%283x%2B3h-%28x%5E2%2B2xh%2Bh%5E2%29-%283x2-x%5E2%29%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B3h-x%5E2-2xh-h%5E2-3x%2Bx%5E2%29%2Fh ALIGN=MIDDLE  ALT=\"%283x%2B3h-x%5E2-2xh-h%5E2-3x%2Bx%5E2%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Watch for simplifications, cancellations within the numerator,<BR>\n" );
document.write( "OKAY...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283h-2xh-h%5E2%29%2Fh ALIGN=MIDDLE  ALT=\"%283h-2xh-h%5E2%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "EDIT: Corrected the mistake in my own work,\r<BR>\n" );
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document.write( "finish the simplification,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283-2x-h%29 ALIGN=MIDDLE  ALT=\"highlight%283-2x-h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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