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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 
?
ExplanationShow
Choice D is correct. The numerator of the given expression can be rewritten in terms of the denominator, 
, as follows: 
, which is equivalent to 
. So the given expression is equivalent to 
. Since the given expression is defined for 
, the expression can be rewritten as 
.
Long division can also be used as an alternate approach. Choices A, B, and C are incorrect and may result from errors made when dividing the two polynomials or making use of structure.
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