Final Answer:
The expression simplifies to
.
Step-by-step explanation:
To solve x³y², we apply the rule of exponents where powers raised to other powers multiply. Here, x³ remains unchanged, while y² remains as y². The next step involves combining x³y² with x³ysz. Since both terms share x³, they can be combined, leaving us with x³(y² + yz). This can be further simplified by factoring out x³, resulting in x³yz² as the final expression.
This expression showcases the application of exponent rules, specifically the multiplication of powers with the same base. Initially, x³ is raised to the power of y², which retains x³ and y² separately. When combined with x³ysz, the common factor x³ allows us to factor it out, leaving us with x³ multiplied by the remaining terms, y² + yz, resulting in x³yz² as the simplified expression.