document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=905711>Question 905711</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for F(x) = 3x to the 2 power, find F(x+h)-f(x)<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 #549331 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=549331\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> for F(x) = 3x to the 2 power, <BR>\n" );
document.write( "find [F(x+h)-f(x)]/h<BR>\n" );
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document.write( "f(x) = 3x^2  (given)<BR>\n" );
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document.write( "f(x+h) = 3(x+h)^2<BR>\n" );
document.write( "f(x+h) = 3(x+h)(x+h)<BR>\n" );
document.write( "f(x+h) = 3(x^2+2hx+h^2)<BR>\n" );
document.write( "f(x+h) = 3x^2+6hx+3h^2<BR>\n" );
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document.write( "so, we substitute the above into:<BR>\n" );
document.write( "[F(x+h)-f(x)]/h<BR>\n" );
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document.write( "[3x^2+6hx+3h^2 - 3x^2]/h<BR>\n" );
document.write( "[6hx+3h^2]/h<BR>\n" );
document.write( "6x+3h  (this is what they're looking for)\r<BR>\n" );
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