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aleksandrvk [35]
2 years ago
12

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

Mathematics
1 answer:
fiasKO [112]2 years ago
8 0

Answer:

The statement is true

Step-by-step 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 (<u>True</u>)

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