To solve the equation X^5 - X^3 = 0, we can first factor out an X^3 from both terms:
X^3(X^2 - 1) = 0.
Now we have a product of two factors equal to zero. This means that either X^3 = 0 or (X^2 - 1) = 0.
X^3 = 0This implies that X = 0.
(X^2 - 1) = 0This is a quadratic equation that can be factored as (X - 1)(X + 1) = 0.This gives us two possible solutions: X = 1 or X = -1.
Therefore, the solutions to the equation X^5 - X^3 = 0 are X = 0, X = 1, and X = -1.
To solve the equation X^5 - X^3 = 0, we can first factor out an X^3 from both terms:
X^3(X^2 - 1) = 0.
Now we have a product of two factors equal to zero. This means that either X^3 = 0 or (X^2 - 1) = 0.
X^3 = 0
This implies that X = 0.
(X^2 - 1) = 0
This is a quadratic equation that can be factored as (X - 1)(X + 1) = 0.
This gives us two possible solutions: X = 1 or X = -1.
Therefore, the solutions to the equation X^5 - X^3 = 0 are X = 0, X = 1, and X = -1.