Problem

Let a and b be integers. By examining the four casesi. a, b both even,ii. a, b both odd,ii...

Let a and b be integers. By examining the four cases

i. a, b both even,

ii. a, b both odd,

iii. a even, b odd,

iv. a odd, b even,

find a necessary and sufficient condition for a2b2 to be odd.

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