document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=624445>Question 624445</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Why do you call the product of the sum and the difference of the same two terms the difference between two squares?\r<BR>\n" );
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document.write( "I need your help on our topic about the Product of the sum and the difference of the same two terms. Please answer my question immediately. Thanks in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #392746 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=392746\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the formula tells you so.<BR>\n" );
document.write( "a^2 - b^2 = (a-b) * (a+b)<BR>\n" );
document.write( "that's the product of the sum and the difference of the same 2 terms and it is equal to the difference of each term squared.<BR>\n" );
document.write( "if you multiply (a-b) * (a+b) you will get:<BR>\n" );
document.write( "a^2 + ab - ab - b^2<BR>\n" );
document.write( "the 2 middle terms cancel out and you are left with:<BR>\n" );
document.write( "a^2 - b^2<BR>\n" );
document.write( "it's nothing more than that.<BR>\n" );
document.write( "it just puts into words what the formula is showing you.<BR>\n" );
document.write( "with multiplication of (a+b) * (a-b) you are using the distributive property of multiplication.<BR>\n" );
document.write( "(a-b) * (a+b) is equal to:<BR>\n" );
document.write( "a * (a+b) - b * (a+b) which is equal to:<BR>\n" );
document.write( "a*a + a*b - b*a - b*b which results in:<BR>\n" );
document.write( "a^2 + ab - ab - b^2 which results in:<BR>\n" );
document.write( "a^2 - b^2 because ab and -ab cancel out. </SPAN>\n" );
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