Question which-

2.4 Equivalent Expressions - Simplifying polynomials
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Which expression is equivalent to d-68d2-3?

A.

8 d 3 - 14 d 2 - 3 d + 18

B.

8 d 3 - 17 d 2 + 48

C.

8 d 3 - 48 d 2 - 3 d + 18

D.

8 d 3 - 51 d 2 + 48

Which expression is equivalent to d - 6 8 d 2 - 3 ?

Hard-difficulty · SAT Math · Equivalent Expressions — Simplifying polynomials. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice C is correct. Applying the distributive property to the given expression yields d8d2-3-68d2-3. Applying the distributive property once again to this expression yields d8d2+d-3+-68d2+-6-3, or 8d3+-3d+-48d2+18. This expression can be rewritten as 8d3-48d2-3d+18. Thus, d-68d2-3 is equivalent to 8d3-48d2-3d+18.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.