Question

Using the Commutative Property, prove that these algebraic expressions are equivalent. In 1–2 sentences, explain your result expression 1 y cdot 3x experssion 2 3xy

Answer 1

To prove the equivalence of the algebraic expressions \(1y \cdot 3x\) and \(3xy\) using the Commutative Property, we can rearrange the factors in the first expression. By applying the property, \(1y \cdot 3x = 3 \cdot 1 \cdot x \cdot y = 3xy\). Thus, both expressions represent the same product, confirming their equivalence.