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

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
Dont make it too long

GPT-4o mini · Answer

To prove that the expressions $ y \cdot 3x $ and $ 3xy $ are equivalent using the commutative property, we can rearrange the first expression as follows: $ y \cdot 3x = 3 \cdot y \cdot x = 3xy $. Since multiplication is commutative, the order of the factors can be changed without affecting the product, showing that both expressions are indeed equivalent.