Which of these expressions is equivalent to the following: 2(x+3)%0D%0A2%0D%0A(%0D%0A%0D%0A+%0D%0A3%0D%0A)%0D%0A %0D%0A%0D%0AI 2x+3%0D%0A2%0D%0A%0D%0A+%0D%0A3%0D%0AII 2x+6%0D%0A2%0D%0A%0D%0A+%0D%0A6%0D%0AIII (x+3)+(x+3)%0D%0A(%0D%0A%0D%0A+%0D%0A3%0D%0A)%0D%0A+%0D%0A(%0D%0A%0D%0A+%0D%0A3%0D%0A)%0D%0AIV x+x+3+3%0D%0A%0D%0A+%0D%0A%0D%0A+%0D%0A3%0D%0A+%0D%0A3%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AI and II %0D%0AI and II %0D%0A%0D%0AII and III%0D%0AII and III%0D%0A%0D%0AIII and IV%0D%0AIII and IV%0D%0A%0D%0AII , III , IV
The expressions that are equivalent to 2(x+3) are II, III, and IV.
WHY
Let's break it down:
I. 2x+3
II. 2(x+3) = 2x+6
III. (x+3)+(x+3) = 2x+6
IV. x+x+3+3 = 2x+6
Expressions II, III, and IV are equivalent to 2(x+3) because they simplify to the same expression, 2x+6.
I is not equivalent to 2(x+3) because it does not include the coefficient of 2 on the x term.