Question which-
Which of the following expressions is equivalent to 
, for 
?
Which of the following expressions is equivalent to , for ?
Hard-difficulty · SAT Math · Equivalent Expressions — Simplifying rational expressions. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice D is correct. Since 
and 
, the fraction can be written as 
. It is given that 
, so the common factor 
is not equal to 0. Therefore, the fraction can be further simplified to .
Choice A is incorrect. The expression is not equivalent to because at 
, as a value of 1 and has a value of 0.
Choice B is incorrect and results from omitting the factor x in the factorization of 
. Choice C is incorrect and may result from incorrectly factoring 
as 
instead of 
.
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