document.write( "Question 1185342: Prove that (2n+1)^2 - (2n-1)^2 is a multiple of 8 for all positive integer values of n. \n" ); document.write( "

Algebra.Com's Answer #816160 by ikleyn(52800) $\"\"$ $\"About$

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\n" ); document.write( "Prove that (2n+1)^2 - (2n-1)^2 is a multiple of 8 for all positive integer values of n.
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document.write( "    (2n+1)^2 - (2n-1)^2 = (4n^2 + 4n + 1) - (4n^2 - 4n + 1) = 8n,  which is a MULTIPLE of 8 for any integer n.\r\n" );
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