## Question

**If a ∗ b = 2a − 4b + 2ab, then 2 ∗ 3 + 3 ∗ 2 = ?**

A. 12

B. 14

C. 0

D. 2

#### Answer: B. 14

**Solution:**

**a ∗ b = 2a − 4b + 2ab**

Hence, **2 ∗ 3 **= 2(2) − 4(3) + 2(2 × 3)

= 4 − 12 + 12

= 4

**3 ∗ 2** = 2(3) − 4(2) + 2(3 × 2)

= 6 − 8 + 12

= 10

Therefore,**2 ∗ 3 + 3 ∗ 2** = 4 + 10 = **14**