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

The correct answer is B. 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 .

SAT Question 70482e20: Answer, Explanation & Desmos Solution

Choice A

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

Choice C

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

Choice D

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

Explanation

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Why the other choices are wrong

SAT Question 70482e20: Equivalent Expressions answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong