An even number multiplied by an even number is
always an odd number.
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So in summary, the reason that multiplying an odd number with an even number will produce an even number is that the product of anything multiplied by an even number can be broken up into 2 quantities that are equal to each other.
Because n and m are even, when we multiply two even numbers together, we always get an even number. Thus nm is even. However, when we then add one to an even number, the result will be an odd number.
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♤FALSE.
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