identify properties used in each step in rewriting the polynomial expression below

(x+5)+3(a+(6x)y)

step 1 3(a+(6x)y)+(x+5)
step 2 3(a+y(6x))+(x+5)
step 3 3a+y18x +(x+5)

Step 1:

The associative property is used to rearrange the terms inside the parentheses: (x+5)+3(a+(6x)y) becomes 3(a+(6x)y)+(x+5).

Step 2:

The commutative property is used to rearrange the order of multiplication: a+y(6x) becomes a+y(6x).

Step 3:

The distributive property is used to multiply each term inside the parentheses by the term outside the parentheses: 3(a+y(6x))+(x+5) becomes 3a+y18x +(x+5).