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if a divides b, then a divides bc

if a divides b, then a divides bc

Suppose a divides b. Then there exists an integer q such that b = aq, so that bc = a(qc) and a divides bc.

Suppose that a divides c. Then there exists an integer k such that c = ak, so that bc = a(kb) and a divides bc.

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Trudie Dory

Update: 2024-04-30