document.write( "Question 476562: prove that the square of an even number is always even and the square of an odd number is always odd \n" ); document.write( "

Algebra.Com's Answer #326740 by robertb(5830) $\"\"$ $\"About$

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$\"%282n%29%5E2+=+4n%5E2+=+2%282n%5E2%29\"$ , so the square of an even number is always even.\r
\n" ); document.write( "\n" ); document.write( " $\"%282n%2B1%29%5E2+=+4n%5E2+%2B+4n+%2B+1+=+2%282n%5E2+%2B+2n%29+%2B+1\"$ , so the square of an odd number is always odd. \n" ); document.write( "

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