\begin{tabular}{|l|}\hline How many terms are in the following \\ expression: \( 2 x^{2}-3 y^{2} \div 2 x^{2} \times y z \)\end{tabular}

To determine how many terms are in the expression \( 2 x^{2} - 3 y^{2} \div 2 x^{2} \times y z \), we first need to simplify the expression. 1. **Identify the components of the expression**: - The expression consists of two parts: \( 2 x^{2} \) and \( -3 y^{2} \div 2 x^{2} \times y z \). 2. **Simplify the second part**: - The division and multiplication in the second part can be simplified as follows: \[ -3 y^{2} \div 2 x^{2} \times y z = -3 y^{2} \times \frac{1}{2 x^{2}} \times y z = -\frac{3 y^{3} z}{2 x^{2}} \] 3. **Combine the terms**: - Now we can rewrite the entire expression: \[ 2 x^{2} - \frac{3 y^{3} z}{2 x^{2}} \] 4. **Identify the terms**: - The expression now consists of two distinct parts: - The first term: \( 2 x^{2} \) - The second term: \( -\frac{3 y^{3} z}{2 x^{2}} \) Since both parts are separate and cannot be combined further, we conclude that there are **2 terms** in the expression. Thus, the final answer is: \[ \boxed{2} \]