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Advanced Math / Equivalent expressions Difficulty: Medium

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

$x cubed plus 10 x$

$- 13 x^{3} + 10 x$

$- 13 x^{3} + 4 x$

$x cubed plus 4 x$

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Explanation

Choice A is correct. Applying the distributive property, the given expression can be written as $7 x^{3} + 7 x - 6 x^{3} + 3 x$ . Grouping like terms in this expression yields $(7 x^{3} - 6 x^{3}) + (7 x + 3 x)$ . Combining like terms in this expression yields $x cubed plus 10 x$ .

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

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

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