Question which-
2.4 Equivalent Expressions - Simplifying rational expressions
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Which of the following is equivalent to 
, where 
?
A.
B.
C.
D.
Which of the following is equivalent to , where ?
Medium-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. The given expression can also be written as 
. The trinomial 
can be rewritten in factored form as . Thus, the entire expression can be rewritten as 
. Simplifying the exponents yields .
Choices A, B, and C are incorrect and may result from errors made when simplifying the exponents in the expression .
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