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