**Commutative:**

**Consider two elements 1 and 2 of Z**

Here, 1 * 2 = 1 – 2 + 1 × 2 = 1 and 2 * 1 = 2 – 1 + 2 × 1 = 3

**Therefore, the operation is not commutative.**

**Associative:**

Take 2, 3, 4 ∈ Z

We get

(2 * 3) * 4 = (2 – 3 + 2 × 3) * 4 = 5 * 4 = 5 – 4 + 5 × 4 = 21

2 * (3 * 4) = 2 * (3 – 4 + 12) = 2 * 11 = 2 – 11 + 2 × 11 = 13

Here, (2 * 3) * 4 ≠ 2 * (3 * 4)

**Therefore, the operation is not associative.**