Answer:
x^3+1/x^3 = x^2
Explanation:
If x^2+1/x^2 =1
The equation x^2+1/x^2 =1 states that the sum of the square of x and the reciprocal of x squared is equal to 1. We can multiply both sides of this equation by x(x+1/x) which is x^2 + 1.
This gives us (x^2)(x+1/x) = x^3 + 1/x^3 = 1.
So, x^3+1/x^3 = x^2.
that x^2+1/x^2 =1, we can deduce that x^3+1/x^3 = x^2. This is because we multiplied both sides of the first equation by x^2 + 1/x^2,
which is equal to x^3+1/x^3 = x^2