Show that if a, b, c, and d are integers such that a | c and b | d, then ab | cd.
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Originally Posted by racewithferrari Show that if a, b, c, and d are integers such that a | c and b | d, then ab | cd. From we get that for some , c = am. Also, from we get that for some , d = nb. Now, what is ab? Can you see how the above facts help us show the desired result?
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