Final answer:
The expression -9xy^3(2y^5+3x^2-8) simplifies to -18xy^8 - 27x^3y^3 + 72xy^3. This is achieved by distributing the multiplication across each term inside the parentheses and simplifying the result.
Step-by-step explanation:
To rewrite the expression -9xy3(2y5+3x2-8) without parentheses and simplify it, we need to distribute the multiplication over each term inside the parentheses.
- Multiply -9xy3 by 2y5 to get -18xy3y5 which simplifies to -18xy8.
- Multiply -9xy3 by 3x2 to get -27x3y3.
- Multiply -9xy3 by -8 to get +72xy3.
Combine these terms to get the simplified expression -18xy8 - 27x3y3 + 72xy3.