p + p- 1 = 5 হলে p3 + p- 3 = কত?

প্রশ্ন: p + p- 1 = 5 হলে p3 + p- 3 = কত?সমাধান:p + p- 1 = 5⇒ p + 1/p = 5⇒ (p + 1/p)3 = 53⇒ p3 + 1/p3 + 3 × p × (1/p) (p + 1/p) = 125⇒ p3 + 1/p3 + 3 × 5 = 125⇒ p3 + 1/p3 = 125 - 15⇒ p3 + 1/p3 = 110∴ p3 + p- 3 = 110