The "subjugation of Takeda" in Japanese history refers to a series of battles fought by Nobunaga ODA, who invaded the territories of Katsuyori TAKEDA (Suruga, Shinano and Kai Provinces) in order to destroy the Takeda clan, whose power was in decline after the Battle of Nagashino.
武田征伐（たけだせいばつ）は、織田信長が、長篠の戦い以降勢力が衰えた武田勝頼の領地である駿河・信濃・甲斐へ侵攻し、武田氏一族を攻め滅ぼした一連の合戦である。