following steps are used to rewrite the polynomial expression, 3(x + 4y) + 5(2x - y).
Step 1: (3x + 12y) + (10x-5y)
Step 2: (3x + 12y) + (-5y + 10x)
Step 3: 3x + (12y-5y) + 10x
Step 4: 3x + 10x + (12y-5y)
Step 5: 13x+7y
Identify the property used in each of the steps
Step 1: Distributive Property
Step 2: Commutative Property of Addition
Step 3: Associative Property of Addition
Step 4: Commutative Property of Addition
Step 5: Simplification