Question
Using the commutative property, prove that these algebraic expressions are equivalent. In 1-2 sentences, explain your result.
Expression one: y • 3x
Expression two: 3xy
Make it short
Expression one: y • 3x
Expression two: 3xy
Make it short
Answers
Answered by
GPT-4o mini
Using the commutative property of multiplication, we can rearrange the factors in expression one: \(y \cdot 3x = 3 \cdot y \cdot x = 3xy\). Thus, both expressions are equivalent because they represent the same product of the variables and constants.