document.write( "Question 924485: Prove algebraically that
\n" ); document.write( "(2n+1)^2-(2n+1) is an even number\r
\n" ); document.write( "\n" ); document.write( "for all positive integer values of n.\r
\n" ); document.write( "\n" ); document.write( "Please help :) \n" ); document.write( "

Algebra.Com's Answer #560873 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%282n%2B1%29%5E2-%282n%2B1%29=%282n%2B1%29%28%282n%2B1%29-1%29\"$
\n" ); document.write( " $\"%282n%2B1%29%5E2-%282n%2B1%29=%282n%2B1%29%282n%29\"$
\n" ); document.write( "So then, for any value $\"n\"$ ,
\n" ); document.write( " $\"2n\"$ is even.
\n" ); document.write( " $\"2n%2B1\"$ is odd.
\n" ); document.write( "The product of an even number and an odd number is always even.\r
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\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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