Question

12^13–12^12+12^11 is divisible by 7 and 19.

Answer 1

12^11*7*19

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Answer 2

The statement is true

Explanation:

The question is as following :

`12^(13)-12^(12)+12^(11)` is divisible by 7 and 19, true or false?

The given expression is
`12^(13)-12^(12)+12^(11)`

Take
`12^(11)` as a common

`12^(13)-12^(12)+12^(11) = 12^(11)*(12^2-12^1+12^0)\\= 12^(11) *(144-12+1)\\=12^(11) * 133\\= 12^(11) * 7 * 19`

So,
`12^(11) * 7 * 19` divided 7 =
`12^(11) * 19`

And
`12^(11) * 7 * 19` divided 19 =
`12^(11) * 7`

`12^(13)-12^(12)+12^(11)` is divisible by 7 and 19 (True)