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To determine which expression is not equivalent to the others, let's simplify each expression:
A) p−3+2⋅1 = p-3+2 = p-1
B) (p+0)⋅1+1/3⋅3 = p⋅1 + 1/3⋅3 = p + 1
C) (p+0)−4/3⋅3/4 = p - 4/3⋅3/4 = p - 1
D) (p⋅1/4⋅4)−1 = p⋅1 - 1 = p - 1
From the simplifications, we can see that all the expressions are equivalent to p-1 except for expression B (p + 1). Therefore, the answer is B) (p+0)⋅1+1/3⋅3.