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

Question

Expression 1: y⋅3x


Expression 2: 3xy

Answer 1

To prove that the expressions \( y \cdot 3x \) and \( 3xy \) are equivalent using the Commutative Property, we can rearrange the terms in Expression 1:

\[ y \cdot 3x = 3 \cdot y \cdot x = 3xy \]

Thus, both expressions are equivalent because they represent the same product of the same factors, just arranged differently. This shows that multiplication is independent of the order of the factors.