(232+1) is exactly divisible by a certain number, then which of the following is also divisible by the same number

(232+1) is exactly divisible by a certain number, then which of the following is also divisible by the same number

a) 296+1

b) 216+1

c) 216-1

d) 7 ×232

Sol:

2⁹⁶ + 1

= (2³²) + (1)³ = (2³² + 1) (2⁶⁴ + 1 + 2³²)

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