Question

Question

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

Expression 1: y⋅3x


Expression 2: 3xy


(2 points)

Answer 1

To prove that the expressions $y\cdot 3x$ and $3xy$ are equivalent using the Commutative Property, we can rearrange the factors. Starting with Expression 1:

$$y\cdot 3x=3\cdot y\cdot x=3xy$$

Thus, both expressions simplify to $3xy$, proving they are equivalent. This result shows that the order in which we multiply the factors does not affect the product, which is the essence of the Commutative Property of multiplication.