For this case we have the following expression:

We apply distributive property:

We rewrite in equivalent form:


Answer:

Answer: some parts of your question is missing below is the missing data
Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y
answer:
F is conservative
F = -6xe^y + ( 33 + 9 ) e^y + C
Step-by-step explanation:
The Potential functions for F so that F = ∇f.
F = -6xe^y + ( 33 + 9 ) e^y + C
attached below is a detailed solution
Answer:
c. 
d. 
Step-by-step explanation:
For this exercise you need to remember the following:
1. The multiplication of signs:

2. The Product of powers property, which states that:

3. The Distributive property:

Knowing that, you can solve the multiplication of the polynomials:
c. 
d. 