Question

If (p + 1/p )^2 , then find the value of p^3 + 1/p^3

Answer 1

Answer:

2

Step-by-step explanation:

p + 1/p = 2

do cube on both sides

(p + 1/p ) ^ 3 = 2 ^ 3

use the formula (a + b) ^ 3 = a^3 + b ^ 3 + 3*a*b(a+b)

P^3 + 1/p^3 + 3*p*1/p(p+1/p) = 8

P^3 + 1/p^3 + 3 * 2 = 8

P^3 + 1/p^3 = 8-6

P^3 + 1/p^3 =2