Question

if x²-1/x =1 , then prove that x⁶-1/x³=4​

Answer 1

x²-1/x=1

(x²-1/x)³=1³

x⁶-3x³-1/x³+3=1

x⁶-3x³-1/x³=-2

I got it till here, I'm not sure how 3x³-2 values as 4

Now if you see it like x⁶-1/x³=3x+1, x should be 1,

so that x⁶-1/x³=4 becomes true but in the given equation, it becomes x²-1/x=0, so I'm not sure you question is right