Question 25
Numbers $a$, $b$ fulfill both equalities simultaneously:
$$
a^2 + b^2 = 1 \text{ and } a^3 + b^3 = -1.
$$
What is the possible value of the expression $a^3 + b^2$?
$$
a^2 + b^2 = 1 \text{ and } a^3 + b^3 = -1.
$$
What is the possible value of the expression $a^3 + b^2$?