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Advanced Math / Equivalent expressions Difficulty: Easy

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

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Explanation

Choice D is correct. Expanding the given expression using the distributive property yields $2 a, squared times, a, plus 2 a, squared times, 3$ . Combining like terms yields $2 a, squared times, open parenthesis, a, to the first power, close parenthesis, plus, open parenthesis, 2 times 3, close parenthesis, times, open parenthesis, a, squared, close parenthesis$ , or $2 a, raised to the 2 plus 1 power, plus 6 a, squared$ , which is equivalent to $2 a, cubed, plus 6 a, squared$ .

Choices A and B are incorrect and may result from incorrectly combining like terms. Choice C is incorrect and may result from distributing $2 a, squared$ only to a, and not to 3, in the given expression.