document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=631629>Question 631629</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (x+y+z)^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #397735 by </B><A HREF=/tutors/aboutme.mpl?userid=lenny460><B>lenny460(1073)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lenny460><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=lenny460><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=397735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x+y+z)^3\r<BR>\n" );
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document.write( "(x + y + z)(x + y + z)(x + y + z)\r<BR>\n" );
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document.write( "We multiply using the FOIL Method:\r<BR>\n" );
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document.write( "x * x = x^2\r<BR>\n" );
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document.write( "x * y = xy\r<BR>\n" );
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document.write( "x * z = xz\r<BR>\n" );
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document.write( "y * x = xy\r<BR>\n" );
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document.write( "y * y = y^2\r<BR>\n" );
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document.write( "y * z = yz\r<BR>\n" );
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document.write( "z * x = xz\r<BR>\n" );
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document.write( "z * y = yz\r<BR>\n" );
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document.write( "z * z = z^2\r<BR>\n" );
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document.write( "We now have:\r<BR>\n" );
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document.write( "x^2 + xy + xz + xy + y^2 + yz + xz + yz + z^2\r<BR>\n" );
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document.write( "Combine like terms:\r<BR>\n" );
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document.write( "xy + xy =2xy\r<BR>\n" );
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document.write( "xz + xz = 2xz\r<BR>\n" );
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document.write( "yz + yz = 2yz\r<BR>\n" );
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document.write( "Therefore:\r<BR>\n" );
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document.write( "x^2 + y^2 + z^2 + 2xy + 2xz + 2yz\r<BR>\n" );
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document.write( "(x^2 y^2 + z^2 + 2xy + 2xz + yz)(x + y + z)\r<BR>\n" );
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document.write( "x^2 * x = x^3\r<BR>\n" );
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document.write( "x^2 * y = x^2y\r<BR>\n" );
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document.write( "x^2 * z = x^2z\r<BR>\n" );
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document.write( "y^2 * x = y^2x\r<BR>\n" );
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document.write( "y^2 * y = y^3\r<BR>\n" );
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document.write( "y^2 * z = y^2z\r<BR>\n" );
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document.write( "z^2 * x = z^2x\r<BR>\n" );
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document.write( "z^2 * y = z^2y\r<BR>\n" );
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document.write( "z^2 * z = z^3\r<BR>\n" );
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document.write( "2xy * x = 2x^2y\r<BR>\n" );
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document.write( "2xy * y = 2y^2x\r<BR>\n" );
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document.write( "2xy * z = 2xyz\r<BR>\n" );
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document.write( "2xz * x = 2x^2z\r<BR>\n" );
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document.write( "2xz * y = 2xyz\r<BR>\n" );
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document.write( "2xz * z = 2z^2x\r<BR>\n" );
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document.write( "2yz * x = 2xyz\r<BR>\n" );
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document.write( "2yz * y = 2y^2z\r<BR>\n" );
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document.write( "2yz * z = 2z^2y\r<BR>\n" );
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document.write( "We now have:\r<BR>\n" );
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document.write( "x^3 + x^2y + x^2z + y^3 + y^2x + y^2z\r<BR>\n" );
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document.write( "+ z^3 + z^2y + z^2x + 2x^2y + 2xy^2 + 2xyz\r<BR>\n" );
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document.write( "+ 2x^2z + 2xyz + 2z^2x + 2xyz + 2y^2z + 2z^2y\r<BR>\n" );
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document.write( "Combine like terms:\r<BR>\n" );
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document.write( "2x^2y + x^2y = 3x^2y\r<BR>\n" );
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document.write( "2xy^2 + xy^2 = 3xy^2\r<BR>\n" );
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document.write( "2xyz + 2xyz + 2xyz = 6xyz\r<BR>\n" );
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document.write( "2x^2z + x^z = 3x^2z\r<BR>\n" );
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document.write( "2z^2x + z^2x = 3z^2x\r<BR>\n" );
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document.write( "2y^2z + y^2z = 3y^2z\r<BR>\n" );
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document.write( "2z^2y + z^2y = 3z^2y\r<BR>\n" );
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document.write( "The Answer:\r<BR>\n" );
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document.write( "x^3 + y^3 + z^3 + 3x^2y + 3xy^2\r<BR>\n" );
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document.write( "+ 3x^2z + 3z^2x + 3y^2z + 3z^2y + 6xyz\r<BR>\n" );
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document.write( "Lennox Obuong<BR>\n" );
document.write( "Algebra Student<BR>\n" );
document.write( "Email: obuong3@aol.com \r<BR>\n" );
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document.write( " </SPAN>\n" );
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