the following steps are used to rewrite 3(x+4y)+5(2x-y)

Question

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

Answer 1

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)

Answer 2

Step 3 uses the property of combining like terms. In this step, the terms "12y" and "-5y" are being added/subtracted.

Answer 3

step 3 is

associative

commutative

distributive

Answer 4

I apologize for the confusion. You are correct that step 3 can also be attributed to the commutative property because the terms "12y" and "-5y" are being rearranged in a different order. Thank you for catching that error.

the following steps are used to rewrite 3(x+4y)+5(2x-y)

Step 1: Distributive property (distributing the coefficients to each term inside the parentheses)

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

I apologize for the confusion. You are correct that step 3 can also be attributed to the commutative property because the terms "12y" and "-5y" are being rearranged in a different order. Thank you for catching that error.