To simplify the expression \( 5x \cdot 8y \cdot (-7x) + (-6x) \cdot 3y \), we can follow these steps:
Distribute the products:
- For the first term: \[ 5x \cdot 8y \cdot (-7x) = 5 \cdot 8 \cdot (-7) \cdot x^2 \cdot y = -280x^2y \]
- For the second term: \[ (-6x) \cdot 3y = -18xy \]
Combine the like terms: The expression now looks like: \[ -280x^2y - 18xy \]
Factor out the common terms if possible: Here, we can factor out \(-y\): \[ -y(280x^2 + 18x) \]
Thus, the simplified expression is: \[ -280x^2y - 18xy \]
If you have any specific requirements regarding the final output or further steps, let me know!