分解因式(a²+b²)²-4a²b²
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/26 05:20:19
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分解因式(a²+b²)²-4a²b²
分解因式(a²+b²)²-4a²b²
分解因式(a²+b²)²-4a²b²
(a²+b²)²-4a²b²
=(a²+b²+2ab)(a²+b²-2ab)
=(a+b)²(a-b)²
设a²=x,b²=y
则原式为(x+y)²-4xy=(x-y)²=(a²-b²)²=(a+b)²(a-b)²
(a²+b²)²-4a²b²
=(a²+b²)²-(2ab)²
=(a²+b²+2ab)(a²+b²-2ab)
=(a+b)²(a-b)²