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Advanced Math / Equivalent expressions Difficulty: Easy

Which of the following expressions is equivalent to $2 times, open parenthesis, a, b minus 3, close parenthesis, plus 2$ ?

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Explanation

Choice B is correct. Applying the distributive property to the given expression yields $2 times a, b, plus, 2 times negative 3, plus 2$ , or $2 a, b minus 6, plus 2$ . Adding the like terms $negative 6$ and 2 results in the expression $2 a, b minus 4$ .

Choice A is incorrect and may result from multiplying $a, b$ by 2 without multiplying $negative 3$ by 2 when applying the distributive property. Choices C and D are incorrect and may result from computational or conceptual errors.