3k–k(6+2k)

1. Start by distributing the k across the terms in the parenthesis in the expression 3k - k(6 + 2k):

- Multiply: k \cdot 6 = 6k
- Multiply: k \cdot 2k = 2k^2

This gives us the expression: 3k - (6k + 2k^2)

2. Simplifying by distributing the negative sign:

= 3k - 6k - 2k^2

3. Combine like terms:

= -2k^2 + 3k - 6k

= -2k^2 - 3k

The final answer is -2k^2 - 3k.