Question

If (a+1/a)^3,and a≠0,then find the value of (a^3+1/a^3)​

Answer 1

bro u forget to give the value of (a+1/a)³

Answer 2

Answer:

3 - 3∛3

(This is a corrected version of answer given before!)

Step-by-step explanation:

The key fact that we need is (x+y)³ = x³ + 3x²y + 3xy² + y³.

Putting x=a and y=1/a gives

     (a+1/a)³ = a³ + 3(a²)(1/a) + 3(a)(1/a²) + 1/a³

                 =  (a³ + 1/a³)  +  3(a + 1/a)

⇒  a³ + 1/a³  =  (a+1/a)³ - 3(a+1/a)

                   = 3 - 3∛3

Hope that helps!