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Advanced Math / Equivalent expressions Difficulty: Medium

Which of the following expressions is equivalent to $8 x^{10} - 8 x^{9} + 88 x$ ?

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Explanation

Choice D is correct. Since $8 x$ is a common factor of each term in the given expression, the expression can be rewritten as $8 x (x^{9} - x^{8} + 11)$ .

Choice A is incorrect. This expression is equivalent to $7 x^{11} - 7 x^{10} + 87 x^{2}$ .

Choice B is incorrect. This expression is equivalent to $8^{10} x - 8^{9} x + 88 x$ .

Choice C is incorrect. This expression is equivalent to $8 x^{11} - 8 x^{10} + 88 x^{2}$ .