document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74041>Question 74041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me with this particular problem..thanks<BR>\n" );
document.write( "Find the constant term or the term independent of x in the expansion of<BR>\n" );
document.write( "(3x-5/x^2)^9.\r<BR>\n" );
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document.write( "this is a paper given as a study guide.thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53082 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=53082\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rewrite as:<BR>\n" );
document.write( "(3x - 5x^-2)^9<BR>\n" );
document.write( "This is a binomial; the expansion contains 10 terms;<BR>\n" );
document.write( "Look at the powers of \"x\" in the eqpansion<BR>\n" );
document.write( "1st term has (x)^9(x^-2)^0)<BR>\n" );
document.write( "2nd term has (x)^8(x^-2)^1 = x^6<BR>\n" );
document.write( "3rd term has (x)^7(x^-2)^2 = x^3<BR>\n" );
document.write( "4th term has (x)^6(x^-2)^3 = x^6*x^-6 = 1<BR>\n" );
document.write( "So the 4th term is a \"constant\" term.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "The complete 4th term is:<BR>\n" );
document.write( "9C6*(3x)^6*(-5x^-2)^3 = 84*729x^6*-125x^-6<BR>\n" );
document.write( "=-7654500<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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