The commutative property states that we can sum the terms in different orders and the result will be the same:
a+b=b+a
So for the expression 4x + 3, we can write:
4x+3=3+4x
The associative property states that we can group the operations of sum and subtraction in different orders and the result is the same:
a+(b+c)=(a+b)+c
So for 6 + (9 + 7) we have:
6+(9+7)=(6+9)+7
The distributive property states the following:
a⋅(b+c)=a⋅b+a⋅c
So for (4x + 3y + 2z) * 7, we have:
(4x+3y+2z)⋅7=28x+21y+14z
Using the commutative property for 5a + 15b, we have:
5a+15b=15b+5a