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Equivalent expressions SAT question

Math · Advanced Math · Easy · Answer it here, explanation included.

Which expression is equivalent to $11 x^{3} - 5 x^{3}$ ?

ExplanationShow

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 $6 x^{3}$ .

Choice A is incorrect. This is equivalent to $11 x^{3} + 5 x^{3}$ , not $11 x^{3} - 5 x^{3}$ .

Choice C is incorrect. This is equivalent to $11 x^{6} - 5 x^{6}$ , not $11 x^{3} - 5 x^{3}$ .

Choice D is incorrect. This is equivalent to $11 x^{6} + 5 x^{6}$ , not $11 x^{3} - 5 x^{3}$ .

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