Which expressions below are equivalent to
2(2x + 1)?
select all that apply.
a. 4x + 2
b. 2(1 + 2x)
c. 2(2x) +1
d. 2x + 1 + 2x + 1
e. x + x + x + x +1+1

Step-by-step explanation:

2(2x + 1) = (2)(2x) + (2)(1) = 4x + 2 → A

used distributive property

2(2x + 1) = 2(1 + 2x) → B

used commutative property

2(2x + 1) = (2x + 1) + (2x + 1) = 2x + 1 + 2x + 1 → D

used 2a = a + a

2(2x + 1) = 4x + 2 = x + x + x + x + 1 + 1 → E

used 4x = x + x + x + x and 2 = 1 + 1