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Equivalent expressions SAT question
Math · Advanced Math · Hard · Answer it here, explanation included.
Which of the following expressions is equivalent to 
, for 
?
ExplanationShow
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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