Question

3. If F(x) = X+1/X , Prove that
[F(x)] whole cube= F(X) cube+ 3 F(1/X)​

Answer 1

Answer:

[F(x)]³ = (x+1/x)³ = x³+1/x³+3x²/x+3x/x²

                        = x³+1/x³+3x+3/x

                        = x³+1/x³+3(1+1/x)

                        = F(x³)+3(F(x))