Final answer:
To simplify the given expression, you can use the distributive property of multiplication over addition and combine like terms.
Step-by-step explanation:
To simplify the given expression, we can use the distributive property of multiplication over addition. We can multiply each term inside the parentheses by 3xy²:
6x³y² + 3xy²(____ + 5y²)
= 6x³y² + 3xy²(____) + 3xy²(5y²)
Now, we can simplify each term:
6x³y² + 3xy²(____) + 3xy²(5y²)
= 6x³y² + 3x²y⁴ + 15x²y⁴
Finally, we can combine like terms to get the simplified expression:
= 6x³y² + 3x²y⁴ + 15x²y⁴
The simplified expression is 6x³y² + 3x²y⁴ + 15x²y⁴.