###### Exercise 51

A student has (correctly) simplified an algebraic expression in the following steps. Between each pair of steps, identify the algebraic property that justifies moving from one step to the next.

commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

distributive property

commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

distributive property

commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

distributive property

commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

distributive property

commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

distributive property