Final answer:
The expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression is A(B+C) = AB + AC.
Step-by-step explanation:
The expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression is A(B+C) = AB + AC.
Using the commutative property of addition, we can rearrange the terms to be (B+C)A.
Then, using the associative property of multiplication, we can distribute the multiplication by A to each term inside the parentheses, resulting in BA + CA.
Therefore, (B+C)A = BA + CA
= AB + AC.