A binary operation © is defined on the set of real Numbers by x©y=x+y-2xy where x and y belongs to real number. find 1.determine whether or not the operation © is commutative.

Question

.binary operation

Answer 1

Commutative means that a©b=b©a.

Let's see if it is: x+y-2xy=y+x-2yx, so it is commutative. The reason is that both addition and multiplication are commutative. The sum of the operands less than twice their product makes the operation commutative.