play into someone's hands
US /pleɪ ˈɪntu ˈsʌmwʌnz hændz/
UK /pleɪ ˈɪntu ˈsʌmwʌnz hændz/

1.
正中下怀, 中计
to do exactly what your opponent wants you to do, so that they gain an advantage over you
:
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By arguing with him, you're just playing into his hands.
和他争论,你只是正中他下怀。
•
The opposition's mistakes played right into the government's hands.
反对派的错误正中政府下怀。