document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104285>Question 1104285</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this binomial expansiom <BR>\n" );
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document.write( " show that the coefficient of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E12b%5E3 ALIGN=MIDDLE  ALT=\"a%5E12b%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > in a binomial expansion of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%5E15 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%5E15\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 455. use the the expansion to evaluate<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.02%29%5E15 ALIGN=MIDDLE  ALT=\"%281.02%29%5E15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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 #719035 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=719035\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  show that the coefficient of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E12b%5E3 ALIGN=MIDDLE  ALT=\"a%5E12b%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > in a binomial expansion of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%5E15 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%5E15\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 455. use the the expansion to evaluate<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.02%29%5E15 ALIGN=MIDDLE  ALT=\"%281.02%29%5E15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "a^12*b^3 is in the term (15C12)a^12b^(15-12)<BR>\n" );
document.write( "with coefficient 15C12 = 15!/[(15-12)!*12!] which equals 455<BR>\n" );
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document.write( "1.02^15 = (1+02)^15 = 15C15*1^15*0.02^0 + 15C14*1^14*0.02^1 + 15C13*1^13*0.02^2 +....+ 15C0*1^0*0.02^15<BR>\n" );
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document.write( "1.02^15 = 1*1*1 + 15*1*0.02 + [(15*14)/(1*2)]*1*0.02^2 + ...+ 1*1*3.2768x10^-26<BR>\n" );
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document.write( "= 1.34586...<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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