Which expression is equivalent to ( 8 x^3 + 8 ) - ( x^3 - 2 ) ?

The correct answer is B. Choice B is correct. The given expression is equivalent to 8 x^3 + 8 - x^3 - ( - 2 ) , or 8 x^3 + 8 - x^3 + 2 . Combining like terms in this expression yields 7 x^3 + 10 .

Note: Graph the original expression and choice B; their overlapping graphs show the expressions are equivalent.

SAT Question 24016dee: Answer, Explanation & Desmos Solution

Choice A

Choice A is incorrect. This expression is equivalent to $(8 x^{3} + 8) - 2$ , not $(8 x^{3} + 8) - (x^{3} - 2)$ .

Choice C

Choice C is incorrect. This expression is equivalent to $(8 x^{3} + 8) - (- 2)$ , not $(8 x^{3} + 8) - (x^{3} - 2)$ .

Choice D

Choice D is incorrect. This expression is equivalent to $(8 x^{3} + 8) - (x^{3} + 2)$ , not $(8 x^{3} + 8) - (x^{3} - 2)$ .

Explanation

Enter in Desmos:

Why the other choices are wrong

Student discussion

SAT Question 24016dee: Equivalent Expressions answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong

Student discussion