document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927431>Question 927431</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which term in the expansion of (1/(2x^3) - x^5))^8 is a constant?\r<BR>\n" );
document.write( "\n" );
document.write( "I know you expand it into the equation <BR>\n" );
document.write( " <BR>\n" );
document.write( "= (nCk) a^(n-k) b^k\r<BR>\n" );
document.write( "\n" );
document.write( "to get = 8Ck (1/(2x^3))^(8-k) (-x^5)^k\r<BR>\n" );
document.write( "\n" );
document.write( "but I am not sure what to do after that.\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you for the help!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #562936 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=562936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The constant term (i.e. x^0 coefficient) is zero. To see it, note that the expression is equal to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?x^3(\frac{1}{2} - x^2)^8\"> so all of the terms with nonzero coefficients are divisible by x^3. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );