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Prove or disprove each of the following propositions: (a) for all integers a, b, c, if a | b, then a | bc. (b) for

Prove or disprove each of the following propositions:

(a) for all integers a, b, c, if a | b, then a | bc.

(b) for all integers a, b, c, if a | (b + c), then a | b or a | c.

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