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Dmitry_Shevchenko [17]
3 years ago
11

If a divides c and that b divides c. Prove ab divides c

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
7 0

If a divides c,

then 'a' is a factor of 'c'.

Also,

If 'b' divides c,

then 'b' is also a factor of 'c'

therefore,

'a' and 'b' are factors of 'c'

Hence, a and b divides 'c'

so, c = a*b

and ab will also divide c.

Hence, proved.

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