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 represent the same product of the variables, demonstrating that the order in which we multiply does not change the result.
use the commutative property, prove that these algebraic expressions are equivalent in 1-2 sentences, explain your result but different
expression 1: y dot 3x
expression 2: 3xy
5 answers
different without "()" or "/"
Using the commutative property, we can demonstrate that \( y \cdot 3x \) is equivalent to \( 3xy \) by rearranging the terms: \( y \cdot 3x = 3 \cdot y \cdot x = 3xy \). Both expressions ultimately yield the same product, confirming their equivalence.
different without numbers
Using the commutative property, we can show that the expression involving one variable multiplied by the other is equivalent to the rearranged form of the same variables. Therefore, when we consider the product of one variable with another, the two expressions yield the same result regardless of the order in which the variables are arranged.