Question if-and
If 
and 
, which of the following is equivalent to 
?
If and , which of the following is equivalent to ?
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 B is correct. It’s given that and . Substituting the values for p and v into the expression yields 
. Multiplying the terms 
yields 
. Using the distributive property to rewrite 
yields 
. Therefore, the entire expression can be represented as 
. Combining like terms yields .
Choice A is incorrect and may result from subtracting, instead of adding, the term 
. Choice C is incorrect. This is the result of multiplying the terms . Choice D is incorrect and may result from distributing 2, instead of 
, to the term 
.
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