Let be a binary operation on the set Q of all rational numbers given as a * b = (2a - b)2 for all a, b ∈ Q. Find 3 * 5 and 5 * 3. Is 3 * 5 = 5 * 3?
To find: 3*5 and 5*3
Given:a*b = (2a - b)2
⇒ 3*5 = (6 - 5)2 = 1
Now 5*3 = (10 - 3)2 = 49
⇒ 3*5 is not equal to 5*3