document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668505>Question 668505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the binomial expansion of (x+y) exponent 4 as a polynomial in simplest form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415596 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=415596\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Look at row 5 in Pascals triangle to see these values: 1, 4, 6, 4, 1 \r<BR>\n" );
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document.write( "These are the coefficients of each term in the form (x)^k*(y)^(n-k) where k starts at 4 and steps down to 0 (n and k are integers where n = 4)\r<BR>\n" );
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document.write( "So the expansion of (x+y)^4 is\r<BR>\n" );
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document.write( "1*(x)^4*(y)^0 + 4*(x)^3*(y)^1 + 6*(x)^2*(y)^2 + 4*(x)^1*(y)^3 + 1*(x)^0*(y)^4\r<BR>\n" );
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document.write( "1*(x^4)*(1) + 4*(x^3)*(y^1) + 6*(x^2)*(y^2) + 4*(x^1)*(y^3) + 1*(1)*(y^4)\r<BR>\n" );
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document.write( "x^4 + 4x^3y + 6x^2y^2 + 4xy^3 + y^4\r<BR>\n" );
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document.write( "Therefore the answer is: (x+y)^4 = x^4 + 4x^3y + 6x^2y^2 + 4xy^3 + y^4 </SPAN>\n" );
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