Question

Q2: a(b + c) = ab + ac is (a)commutative property (b) distributive property (c) associative property (d) closure property​

Answer 1

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a(b + c) = ab + ac  is distributive property of addition.

So option b is the correct answer.

In mathematics, the distributive property of binary operations generalizes the distributive law from Boolean algebra and elementary algebra. In propositional logic, distribution refers to two valid rules of replacement. The rules allow one to reformulate conjunctions and disjunctions within logical proofs.

Distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.