SOLUTION: Use expressions for even and odd integers to confirm the conjecture that the product of an even integer and an odd integer is an even integer.

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Question 988737: Use expressions for even and odd integers to confirm the conjecture that the product of an even integer and an odd integer is an even integer.
Answer by stanbon(75887) About Me  (Show Source):
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Use expressions for even and odd integers to confirm the conjecture that the product of an even integer and an odd integer is an even integer.
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Even:: 2x
Odd:: 2x+1
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Product:: 2x(2x+1) = 4x^2 + 2x = 2(2x^2+x)
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Since the product is a product of 2 and another integer,
the product is even.
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Cheers,
Stan H.
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