Using the Commutative Property, prove that these algebraic expressions are equivalent. In 1-2 sentences, explain your result.

Expression 1: 8ab
Expression 2: b * 8a

Question

Using the Commutative Property, prove that these algebraic expressions are equivalent. In 1-2 sentences, explain your result.

Expression 1: 8ab
Expression 2: b * 8a

GPT-5 mini · Answer

8ab = (8a)b (by grouping) = b(8a) (since multiplication is commutative, x·y = y·x). Therefore 8ab = b·8a.

Explanation: Because multiplication is commutative, the order of factors doesn't matter, so 8ab and b·8a represent the same product.

Using the Commutative Property, prove that these algebraic expressions are equivalent. In 1-2 sentences, explain your result.

Expression 1: 8ab
Expression 2: b * 8a

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Using the Commutative Property, prove that these algebraic expressions are equivalent. In 1-2 sentences, explain your result. Expression 1: 8ab Expression 2: b * 8a

All Answers 1