因式分解:(a²+2ab-4)(a²+2ab-2)+1
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![因式分解:(a²+2ab-4)(a²+2ab-2)+1](/uploads/image/z/1961634-66-4.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A%EF%BC%88a%26%23178%3B%EF%BC%8B2ab%EF%BC%8D4%EF%BC%89%EF%BC%88a%26%23178%3B%EF%BC%8B2ab%EF%BC%8D2%EF%BC%89%EF%BC%8B1)
因式分解:(a²+2ab-4)(a²+2ab-2)+1
因式分解:(a²+2ab-4)(a²+2ab-2)+1
因式分解:(a²+2ab-4)(a²+2ab-2)+1
(a²+2ab-4)(a²+2ab-2)+1
=(a²+2ab)²-6(a²+2ab)+9
=(a²+2ab-3)²
设a²+2ab=X ,原式=(X-4)(X-2)+1=X²-6X+9=(X-3)²=(a²+2ab-3)²