1. The problem states: Given $a - b = \frac{14}{3}$, find $a^2 - b^2$. 2. Recall the algebraic identity: $$a^2 - b^2 = (a - b)(a + b)$$ 3. We know $a - b = \frac{14}{3}$, but we need $a + b$ to find $a^2 - b^2$. 4. Without additional information about $a + b$, we cannot determine a unique value for $a^2 - b^2$. 5. Therefore, $a^2 - b^2 = \left(\frac{14}{3}\right)(a + b)$, which depends on $a + b$. 6. If you provide $a + b$, we can calculate the exact value of $a^2 - b^2$.