Question

Using the commutative property, prove that these algebraic expressions are equivalent
Y•3x
3xy

Answer 1

To prove that the algebraic expressions Y•3x and 3xy are equivalent using the commutative property, we need to show that the order of their terms can be switched without changing the result.

The commutative property states that the order of terms can be changed without affecting the result.

For the expression Y•3x, the order is Y and then 3x. If we switch the order of these terms using the commutative property, we have 3x•Y.

For the expression 3xy, the order is 3x and then y. If we switch the order of these terms using the commutative property, we have y•3x.

Since both Y•3x and 3xy can be rearranged to 3x•Y and y•3x respectively, we can conclude that the expressions are equivalent based on the commutative property.