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Advanced Math / Equivalent expressions Difficulty: Easy

Which expression is equivalent to $(9 x^{3} + 5 x + 7) + (6 x^{3} + 5 x^{2} - 5)$ ?

$15 x^{6} + 5 x^{2} - 5 x - 35$

$15 x^{3} + 10 x^{2} + 2$

$15 x^{6} + 5 x^{2} + 5 x + 2$

$15 x^{3} + 5 x^{2} + 5 x + 2$

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Explanation

Choice D is correct. The given expression can be rewritten as $(9 x^{3} + 6 x^{3}) + 5 x^{2} + 5 x + (7 - 5)$ . Combining like terms in this expression yields $15 x^{3} + 5 x^{2} + 5 x + 2$ .

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.