What is the rate law for the following mechanism?

What is the rate law for the following mechanism?
Step 1: A+B ---->C (fast)
Step 2: B+C ---->D (slow)

Express your answer in terms of k and the necessary concentrations (e.g., k[A]^3[D]).

Answer:
=k[A][B]^2

Even though step 2 is the rate-determining step, C can't be part of the overall rate law because it is an intermediate.

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