document.write( "Question 618977: Prove that if ‘a’ and ’b’ are odd positive integers, then a2+b2 is even but not divisible by 4. \n" ); document.write( "

Algebra.Com's Answer #389268 by richard1234(7193) $\"\"$ $\"About$

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If a is odd, it turns out that

. Similarly,

, so\r
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, therefore it is even but not a multiple of 4. \n" ); document.write( "

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