document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=373683>Question 373683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could anyone offer their expertise on this one please?? Im stumped!\r<BR>\n" );
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document.write( "Polynomials. Simplify. Do not use negative exponents in the answer.\r<BR>\n" );
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document.write( "(m&#8722;5)10<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 #265938 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=265938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "I'm guessing but I think you mean:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (m\ -\ 5)^{10}\">\r<BR>\n" );
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document.write( "And you want the binomial expansion\r<BR>\n" );
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document.write( "In general:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (x\ +\ y)^n\ =\ \sum_{k=0}^n\,\left(n\cr k\right)\,x^{n-k}y^k\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (x\ -\ y)^n\ =\ \sum_{k=0}^n\,(-1)^k\,\cdot\,\left(n\cr k\right)\,x^{n-k}y^k\">\r<BR>\n" );
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document.write( "So the first four terms of your sum:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (m\ -\ 5)^{10}\ =\ \sum_{k=0}^{10}\,(-1)^k\,\cdot\,5^k\,\cdot\,\left(10\cr\ k\right)\,m^{10-k}\">\r<BR>\n" );
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document.write( "are:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ m^{10}\ -\ 50m^9\ +\ 1125m^8\ -\ 15000m^7\ +\ \cdots\">\r<BR>\n" );
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document.write( "Remember:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(n\cr k\right)\ =\ \frac{n!}{k!(n\,-\,k)!}\">\r<BR>\n" );
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document.write( "You can do the rest of the arithmetic, and don't forget to alternate the signs.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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