Question

if (p+1/p) = 3,find the value of p^3+1/p^3​

Answer 1

Answer:

Required value is 18

Step-by-step explanation:

Given that,

p + (1/p) = 3

On cubing both sides, we get,

(p + (1/p))³ = 3³

=> (p)³ + (1/p)³ + 3xpx(1/p)(p + (1/p)) = 27  [Since, (a + b)³ = a³ + b³ + 3ab(a + b)]

=> (p)³ + (1/p)³ + 3(p + (1/p)) = 27

putting the value of p + (1/p) = 3, we get,

=>(p)³ + (1/p)³ + 3 x 3 = 27

=> (p)³ + (1/p)³ = 27 - 9

=> (p)³ + (1/p)³ = 18

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Answer 2

Step-by-step explanation:

above soln is correct soln ...