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

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

Thus, both expressions simplify to \( 3xy \), demonstrating their equivalence. This result shows that multiplication is commutative, allowing us to rearrange the order of factors without changing the product.