document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=416857>Question 416857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference between the squares of two consecutive even numbers is twise the sum of the numbers.\r<BR>\n" );
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document.write( "For example: 8^2 - 6^2 = 28<BR>\n" );
document.write( "             2 x (8 + 6) = 28\r<BR>\n" );
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document.write( "Prove this result algebraically.\r<BR>\n" );
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document.write( "thankyou :)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #291953 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=291953\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n & n+2 are the numbers<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B2%29%5E2+-+n%5E2+=+n%5E2+%2B+2n+%2B+4+-+n%5E2+=+2n+%2B+4 ALIGN=MIDDLE  ALT=\"%28n%2B2%29%5E2+-+n%5E2+=+n%5E2+%2B+2n+%2B+4+-+n%5E2+=+2n+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2*(n + n+2) = 2n+4<BR>\n" );
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document.write( "It's true for odd or even numbers, as shown above.<BR>\n" );
document.write( "The difference between the squares is the difference between the numbers times the sum of the numbers.<BR>\n" );
document.write( "Diff of squares = (Diff of numbers) * (sum of numbers)<BR>\n" );
document.write( "There's no good reason to try to remember that, imo. </SPAN>\n" );
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