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Advanced Math / Equivalent expressions Difficulty: Easy

Which expression is equivalent to $5 x^{5} - 6 x^{4} + 8 x^{3}$ ?

$x Superscript 4 Baseline left parenthesis 5 x minus 6 right parenthesis$

$x^{3} (5 x^{2} - 6 x + 8)$

$8 x^{3} (5 x^{2} - 6 x + 1)$

$6 x^{5} (- 6 x^{4} + 8 x^{3} + 1)$

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Explanation

Choice B is correct. Since $x^{3}$ is a common factor of each term in the given expression, the expression can be rewritten as $x^{3} (5 x^{2} - 6 x + 8)$ .

Choice A is incorrect. This expression is equivalent to $5 x Superscript 5 minus 6 x Superscript 4$ .

Choice C is incorrect. This expression is equivalent to $40 x^{5} - 48 x^{4} + 8 x^{3}$ .

Choice D is incorrect. This expression is equivalent to $- 36 x^{9} + 48 x^{8} + 6 x^{5}$ .