If p + (1/p) = 112, find (p - 112)15 + (1/p15).
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Correct answer: D
Explanation
The correct answer is option 4 i.e 0
⇒ p + 1 / p = 112
⇒ p - 112 = -1 / p
Raising the power to 115 in both the sides.
⇒ (p - 112)115 = (-1 / p)115
We will add 1 / p115 in both the sides.
⇒ (p - 112)115 + 1 / p115 = - 1 / p115 + 1 / p115
⇒ (p - 112)115 + 1 / p115 = 0