the following steps are used to rewrite 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)
identify the property used in each step
Step 1: Distributive property (distributing the coefficients to each term inside the parentheses)
Step 2: Commutative property of addition (changing the order of the terms inside the parentheses)
Step 3: Combining like terms (adding or subtracting terms with the same variables)
Step 4: Associative property of addition (changing the order of the terms being added)
step 3?
Step 3 uses the property of combining like terms. In this step, the terms "12y" and "-5y" are being added/subtracted.
step 3 is
associative
commutative
distributive