The expanded form of "He'd" in the sentence "He'd had a car like the one he bought last week" is "He had".
Explanation:
In this context, "He'd" is a contraction of "He had" (past perfect tense).
The sentence suggests that in the past, he had owned a car, similar to the one he bought last week.
However, "He'd" can also be a contraction of "He would" in different contexts (e.g., "He'd go to the store if he had time"), but in this specific sentence, the correct expansion is "He had".