Question

luke says you can always add and you can always multiply to join groups. is he correct? why or why not

Answer 1

Answer with explanation:

Suppose G is a finite group having elements natural numbers.

→→→  If you add any two members of the group, you will get member of the group,because a group satisfy closure property with respect to addition.

For example, 2 ∈N,3∈N→2+3=5∈N

→→Similarly, if you multiply any two members of the group, you will get member of the group,because a group satisfy closure property with respect to multiplication.

   For example,: 2 ∈N,3∈N→2×3=6∈N

Yes, He is Correct.

Answer 2

He is incorrect because you can multiply unlike terms like y and x and you'll get xy but you can't add unlike terms like 13x+16y is the simplest it can be.