Question

Which two expressions are equivalent for any

value of y?
A.
3(3y + 3) and 6y + 6
B.
3(3y + 3) and 9y + 6
C.
9(y + 3) and 12 + 9y
D.
9(y + 3) and 27 + 9y

Answer 1

D.

Explanation:

The answer is D.

these are equivalent for any value of y

Answer 2

Answer: D. 9(y + 3) and 27 + 9y

Explanation:

We will distribute the left expressions and see which is equal to the right expressions.

A] 3(3y + 3) ➜ 9y + 9 ≠ 6y + 6

B] 3(3y + 3) ➜ 9y + 9 ≠ 9y + 6

C] 9(y + 3) ➜ 9y + 27 ≠ 12 + 9y

D] 9(y + 3) ➜ 9y + 27, 27 + 9y = 27 + 9y