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Advanced Math / Equivalent expressions Difficulty: Easy

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

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Explanation

Choice A is correct. Since $open parenthesis, x squared, minus x, close parenthesis$ is a common term in the original expression, like terms can be added: $2 times, open parenthesis, x squared, minus x, close parenthesis, plus, 3 times, open parenthesis, x squared, minus x, close parenthesis, equals, 5 times, open parenthesis, x squared, minus x, close parenthesis$ . Distributing the constant term 5 yields $5 x squared, minus 5 x$ .

Choice B is incorrect and may result from not distributing the negative signs in the expressions within the parentheses. Choice C is incorrect and may result from not distributing the negative signs in the expressions within the parentheses and from incorrectly eliminating the $x squared$ -term. Choice D is incorrect and may result from incorrectly eliminating the x-term.