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Associative Law of Binary Operation

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check weather a*b=(a-b)^2 is commutative or assosiative both

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The relation $a * b = (a - b)^{2}$ , is commutative -

Q. Check weather themset of numbers from a PYTHAGOREAN TRIPLETS or not
a)( 7,24,25)
b)(40,42,58)

Q. Say true or false:

A

B

be two matrices such that they commute, then

A^{2} - B^{2} = (A - B) (A + B)

.

Q. If * be a binary operation on

N

a^{*} b = H . C . F .

a

b

, then check if * is commutative. Is * associative.

Q. Let * be a binary operation on R defined by a * b = ab + 1. Then, * is
(a) commutative but not associative
(b) associative but not commutative
(c) neither commutative nor associative
(d) both commutative and associative

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Associative Law of Binary Operation

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