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

User Helder
by
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2 Answers

3 votes

Answer:

12^11*7*19

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User Badarshahzad
by
8.0k points
1 vote

Answer:

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)

User Fjurt
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