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

Answer 1

To prove that \( y \cdot 3x \) is equivalent to \( 3xy \) 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 we can change the order of multiplication without affecting the result. The Commutative Property shows that the order of factors does not change the product.