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Advanced Math / Equivalent expressions Difficulty: Easy

Which expression is equivalent to $(2 x^{2} + x - 9) + (x^{2} + 6 x + 1)$ ?

$2 x^{2} + 7 x + 10$

$2 x^{2} + 6 x - 8$

$3 x^{2} + 7 x - 10$

$3 x^{2} + 7 x - 8$

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Explanation

Choice D is correct. The given expression is equivalent to $(2 x^{2} + x + (- 9)) + (x^{2} + 6 x + 1)$ , which can be rewritten as $(2 x^{2} + x^{2}) + (x + 6 x) + (- 9 + 1)$ . Adding like terms in this expression yields $3 x^{2} + 7 x + (- 8)$ , or $3 x^{2} + 7 x - 8$ .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.