document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984109>Question 984109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Expand and simplify the following expression:\r<BR>\n" );
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document.write( "(x+2y-3) (2x-y+1) (x+y)\r<BR>\n" );
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document.write( "I tried playing around with using the FOIL method, but i'm not sure if it can be used when there are three brackets to expand? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #604911 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=604911\">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( "You have three factors, so you have to multiply one pair and then take that product times the third factor.  Multiplication, like addition, is a binary operation -- only two operands allowed at a time.\r<BR>\n" );
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document.write( "FOIL is a process that only works with binomials, because if you have a trinomial (or greater degree) factor, First, Outside, Inside, Last doesn't include all of the multiplications you have to do.\r<BR>\n" );
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document.write( "The process I use when multiplying polynomials with more than two terms is to take the first term of the first polynomial times each of the terms of the second polynomial, and I write them in a line making sure my signs are correct.  Then I take the second term of the first polynomial and multiply it by each of the terms in the second polynomial, writing these terms in a line UNDER the first line of terms, making sure to line up the terms by degree (the cubed terms in one column, the squared terms in another column, etc.).  Once I have multiplied each of the first polynomial's terms by each of the second polynomial's terms, I add up the columns to collect like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (x\ +\ 2y\ -\ 3)(2x\ -\ y\ +\ 1)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2x^2\ -\ \ \,xy\ +\ \ x\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4xy\ \ \ \ \ \ \ \ -\ 2y^2\ \,+\ 2y\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \,-\ 6x\ \ \ \,\ \ \ \ \ \ +\ 3y\ -\ 3}\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2x^2\ +\ 3xy\ -\ 5x\ -\ 2y^2\ +\ 5y\ -\ 3\">\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 </SPAN>\n" );
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