document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927997>Question 927997</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When (2a + b)^8 is expanded, what is the coefficient of the term a^3 b^5 <BR>\n" );
document.write( " Hint: Remember the 2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563383 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=563383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For (x+y)^n, each term is of the form (n C k)*(x)^k*(y)^(n-k)\r<BR>\n" );
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document.write( "We want the term where the exponent on x is 3, so k = 3. The value of n is n = 8. Also, x = 2a and y = b\r<BR>\n" );
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document.write( "So,\r<BR>\n" );
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document.write( "(n C k)*(x)^k*(y)^(n-k)\r<BR>\n" );
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document.write( "(8 C 3)*(2a)^3*(b)^(8-3)\r<BR>\n" );
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document.write( "56*(8a^3)*(b^5)\r<BR>\n" );
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document.write( "488a^3b^5\r<BR>\n" );
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document.write( "So we can see that the coefficient here is <font size=5 color=\"red\">488</font>\r<BR>\n" );
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document.write( "Jim\r<BR>\n" );
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