Question

For all numbers x and y, let the operation "⧣" be defined as x ⧣ y = 2xy - 4x. If a and b are positive integers, which of the following can be equal to zero? Option 1: a = 3, b = 2 Option 2: a = 1, b = 4 Option 3: a = 5, b = 0 Option 4: a = 0, b = 6

Answer 1

Answer: 1 and 4

Explanation:

option 1: 2*3*2-4*3=12-12=0 correct

option 2: 2*1*4-4*1=4 incorrect

option 3: 2*5*0-4*5=-20 incorrect

option 4: 2*0*6-4*0=0 correct

Option 1 and 4