document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=576349>Question 576349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help understanding how <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B1%29%5E3%28x-4%29%28x-0%29+ ALIGN=MIDDLE  ALT=\"+%28x%2B1%29%5E3%28x-4%29%28x-0%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E5-x%5E4-9x%5E3-11x%5E2-4x+ ALIGN=MIDDLE  ALT=\"+x%5E5-x%5E4-9x%5E3-11x%5E2-4x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I've tried to figure out how that is the answer but the factor with the multipilicty of 3 throws me off. Please help me, thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369815 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=369815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (x\ +\ 1)^3\ =\ (x\ +\ 1)^2(x\ +\ 1)\ \cr.\cr =\ (x^2\ +\ 2x\ +\ 1)(x\ +\ 1)\ \cr.\cr =\ x^3\ +\ 2x^2\ +\ x\ +\ x^2\ +\ 2x\ +\ 1\ \cr.\cr =\ x^3\ +\ 3x^2\ +\ 3x\ +\ 1\">\r<BR>\n" );
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document.write( "Is the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (x\ +\ 1)^3\"> part.  Then just multiply the result above by each of the other two factors.  Note <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\ -\ 0\"> is just <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\">\r<BR>\n" );
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document.write( "In general, the binomial expansion is:\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( "Where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(n\cr k\right\)\"> is the number of combinations of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE n\"> things taken <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE k\"> at a time and is calculated by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{n!}{k!(n\,-\,k)!}\"> \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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