document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155218>Question 155218</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the first five terms in the expansion of (r-2s)^8, can somebody tell me how to find the coeffiecients. Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114291 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=114291\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the first five terms in the expansion of (r-2s)^8, can somebody tell me how to find the coeffiecients.<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "The form (a-b)^8 is 8C8a^8 + 8C7a^7(-b) + 8C6a^6(-b)^2 + 8C5a^5(-b)^3...<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Your Problem:<BR>\n" );
document.write( "(r-(2s))^8= 8C8r^8 + 8C7r^7(-2s) + 8C6r^6(-2s)^2 <BR>\n" );
document.write( "+ 8C5r^5(-2s)^3 + 8C4r^4(-2s)^4 etc.<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "The coefficients are:<BR>\n" );
document.write( "1st : 1<BR>\n" );
document.write( "2nd : 8*(-2) = -16<BR>\n" );
document.write( "3rd: 28*(-2)^2 = 28*4 = 112<BR>\n" );
document.write( "4th: 56*(-2)^3 = 56*(-8) = -448<BR>\n" );
document.write( "5th: I'll leave this to you<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );