Question 87
Let $a$ and $b$ be real numbers that satisfy the equations
$$
\frac{a}{b} + \frac{b}{a} = \frac{5}{2} \quad \text{and} \quad a - b = \frac{3}{2}
$$
Find all possible values of $a^{2} + 2 a b + b^{2} + 2 a^{2} b + 2 a b^{2} + a^{2} b^{2}$.
$$
\frac{a}{b} + \frac{b}{a} = \frac{5}{2} \quad \text{and} \quad a - b = \frac{3}{2}
$$
Find all possible values of $a^{2} + 2 a b + b^{2} + 2 a^{2} b + 2 a b^{2} + a^{2} b^{2}$.