document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041607>Question 1041607</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if x + y = 12 and x - y = 1/3, then x^2 -y^2 = </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656530 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=656530\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+y = 12<BR>\n" );
document.write( "x-y = 1/3\r<BR>\n" );
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document.write( "Multiply out the two equations (left sides group together, right sides group together)\r<BR>\n" );
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document.write( "(x+y)*(x-y) = 12*(1/3)<BR>\n" );
document.write( "(x+y)*(x-y) = 4<BR>\n" );
document.write( "x^2 - y^2 = 4 ... difference of squares rule\r<BR>\n" );
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document.write( "The final answer is 4. </SPAN>\n" );
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