document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976143>Question 976143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation (a+b+c)(a+b-c) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597801 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=597801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let z = a+b\r<BR>\n" );
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document.write( "(a+b+c)(a+b-c)<BR>\n" );
document.write( "(z+c)(z-c)<BR>\n" );
document.write( "z^2 - c^2 ... difference of squares rule<BR>\n" );
document.write( "(a+b)^2 - c^2<BR>\n" );
document.write( "a^2 + 2ab + b^2 - c^2 ... perfect square rule\r<BR>\n" );
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document.write( "So, (a+b+c)(a+b-c) expands out to a^2 + 2ab + b^2 - c^2\r<BR>\n" );
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document.write( "Jim\r<BR>\n" );
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