Use the communitative and associative property to write three equivalent expressions for: 3*(a*b)

(3*a)*b, (b*3)*a, and 3*(b*a)

5x+3y

To use the commutative property, we can change the order of the numbers and keep the operation the same. For multiplication, the commutative property states that changing the order of the factors does not affect the result.

To use the associative property, we can change the grouping of the factors while keeping the same order. For multiplication, the associative property states that changing the grouping of factors does not affect the result.

Starting with the expression 3*(a*b), let's create three equivalent expressions:

1. Commutative property:
- We can change the order of the factors while keeping the same operation, so we can rewrite the expression as (a*b)*3.

2. Associative property (left grouping):
- We can group the factors on the left while keeping the same order, so we can rewrite the expression as (3*a)*b.

3. Associative property (right grouping):
- We can group the factors on the right while keeping the same order, so we can rewrite the expression as a*(b*3).

So, three equivalent expressions for 3*(a*b) are:
- (a*b)*3
- (3*a)*b
- a*(b*3)