m-(1/m) = 2 হলে m4+(1/m)4 = কত?

m-(1/m) = 2 হলে m⁴+(1/m)⁴ = কত?

A 30

B 31

C 32

D 34

Correct Answer: Option D

m⁴+(1/m)⁴
= {m²+(1/m)²}² - 2.m².(1/m)²
= [{m-(1/m)}² + 2.m.(1/m)]² - 2
= (2²+2)² - 2
= 6²- 2
= 34