Which of these expressions is equivalent to the following: 2(x+3)
I 2x+3
II 2x+6
III (x+3)+(x+3)
IV x+x+3+3
(1 point)
Responses
I and II
I and II
II and III
II and III
III and IV
III and IV
II , III , IV
II , III , IV
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The correct answer is II and III.
Explanation:
To simplify the expression 2(x+3), we distribute the 2 to the terms inside the parentheses.
II: 2(x+3) = 2x + 6
III: (x+3) + (x+3) = 2x + 6
Therefore, both II and III are equivalent to 2(x+3).