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21-09-2019
Mathematics

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(b) Given that p = 6n + 1, show that p2 + 2 is divisible by 3.

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Аноним Аноним

21-09-2019

Answer:

See below.

Step-by-step explanation:

p^2 + 2

= (6n + 1)^2 + 2

= 36n^2 + 12n + 1 + 2

= 36n^3 + 12n + 3

= 3(12n^2 + 4n + 1).

- which is divisible by 3.

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