Which of the following is equivalent to the expression above?
Correct answer: A
Explanation
Choice A is correct. The given expression can be rewritten as . Applying the distributive property, the expression
can be rewritten as
, or
. Adding like terms yields
. Substituting
for
in the given expression yields
. By the rules of exponents, the expression
is equivalent to
. Applying the distributive property, this expression can be rewritten as
, or
. Adding like terms gives
. Substituting
for
in the rewritten expression yields
, and adding like terms yields
.
Choices B, C, and D are incorrect. Choices C and D may result from rewriting the expression as
, instead of as
. Choices B and C may result from rewriting the expression
as
, instead of
.
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