using the commutative property, prove that these algebraic expressions are equivalent, in 1 sentence explain your result.

Question

expression 1:y x 3r
expression 2 : 3Ry

Answer 1

To prove that the expressions \( y \times 3r \) and \( 3Ry \) are equivalent using the commutative property, we can rearrange \( y \times 3r \) to \( 3 \times r \times y \), which shows that both expressions represent the same product of the factors, hence they are equivalent.

In conclusion, the commutative property allows us to rearrange the order of multiplication, confirming that both expressions are indeed equivalent.