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 #728808 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "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( "
\"%282n+%2B+1%29%5E2+-+%282n+%2B+1%29\"
\n" ); document.write( "(2n + 1)[(2n + 1) – 1]
\n" ); document.write( "(2n + 1)(2n + 1 – 1)
\n" ); document.write( "(2n + 1)(2n), or 2n(2n + 1)
\n" ); document.write( "2n is an EVEN NUMBER, and adding 1 to an even number creates an ODD number
\n" ); document.write( "Therefore, \n" ); document.write( "
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