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 #291952 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=291952\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The difference between the squares of two <BR>\n" );
document.write( "consecutive even numbers is twice the sum of the numbers.<BR>\n" );
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document.write( "1st: 2x<BR>\n" );
document.write( "2nd: 2x+2<BR>\n" );
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document.write( "(2x)^2-(2x+2)^2 = 2(2x+2x+2)<BR>\n" );
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document.write( "4x^2-[4x^2+8x+4] = 8x+4<BR>\n" );
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document.write( "-8x-4 = 8x+4<BR>\n" );
document.write( "Didn't work.<BR>\n" );
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document.write( "You have to take the square of the larger - the square of the smaller:<BR>\n" );
document.write( "(2x+2)^2-(2x)^2 = 2(2x+2x+2)<BR>\n" );
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document.write( "4x^2+8x+4-4x^2 = 8x+4<BR>\n" );
document.write( "8x+4 = 8x+4<BR>\n" );
document.write( "That works.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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