_If a ∗ b = 2a − 4b + 2ab, then 2 ∗ 3 + 3 ∗ 2 = - www.mathselab.com

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

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





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