Question the-ex
The expression 
can be rewritten as 
, where k is a positive constant. What is the value of k ?
2
6
The expression can be rewritten as , where k is a positive constant. What is the
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 D is correct. Factoring out the coefficient 
, the given expression can be rewritten as 
. The expression 
can be approached as a difference of squares and rewritten as 
. Therefore, k must be .
Choice A is incorrect. If k were 2, then the expression given would be rewritten as 
, which is equivalent to 
, not .
Choice B is incorrect. This may result from incorrectly factoring the expression and finding 
as the factored form of the expression. Choice C is incorrect. This may result from incorrectly distributing the and rewriting the expression as 
.
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