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Advanced Math / Equivalent expressions Difficulty: Easy

Which expression is equivalent to $11 x cubed minus 5 x cubed$ ?

$16 x cubed$

$6 x cubed$

$6 x Superscript 6$

$16 x Superscript 6$

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Explanation

Choice B is correct. The given expression can be rewritten as $11 x^{3} + (- 5) x^{3}$ . Since the two terms of this expression are both constant multiples of $x^{3}$ , they are like terms and can, therefore, be combined through addition. Adding like terms in the expression $11 x^{3} + (- 5) x^{3}$ yields $6 x cubed$ .

Choice A is incorrect. This is equivalent to $11 x cubed plus 5 x cubed$ , not $11 x cubed minus 5 x cubed$ .

Choice C is incorrect. This is equivalent to $11 x Superscript 6 minus 5 x Superscript 6$ , not $11 x cubed minus 5 x cubed$ .

Choice D is incorrect. This is equivalent to $11 x Superscript 6 plus 5 x Superscript 6$ , not $11 x cubed minus 5 x cubed$ .