document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126798>Question 1126798</A>: <I><SPAN STYLE=\"word-break: break-all;\"> By using the expansion of (2+x)^4 and (2-x)^4, find the exact value of (2+&#8730;3)^4 + (2-&#8730;3)^4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #743108 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=743108\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1--4--6--4--1<BR>\n" );
document.write( "(2+x)^4=16+4(8x)+6(4x^2)+4(4x)+x^4=16+32x+24x^2+8x^3+x^4<BR>\n" );
document.write( "(2-x)^4=16-32x+24x^2-8x^3+x^4\r<BR>\n" );
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document.write( "Add those two for 32+48x^2+2 x^4<BR>\n" );
document.write( "let x=sqrt(3)<BR>\n" );
document.write( "32+144+18=194\r<BR>\n" );
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document.write( "Let x=sqrt(3)<BR>\n" );
document.write( "16+32sqrt(3)+72+24 sqrt(3)+9=97+56 sqrt(3) for the first one (positive coefficients)<BR>\n" );
document.write( "16-32 sqrt(3)+72-24 sqrt(3)+9=97-56 sqrt(3)<BR>\n" );
document.write( "sum is 194\r<BR>\n" );
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