(x²+y²)²-4x²y² (x+y)²-4(x+y-1)因式分解
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/09 22:59:04
(x²+y²)²-4x²y² (x+y)²-4(x+y-1)因式分解
(x²+y²)²-4x²y²
=[(x²+y²)+2xy][(x²+y²)-2xy]
=(x²+2xy+y²)(x²-2xy+y²)
=(x+y)²(x-y)²
(x+y)²-4(x+y-1)
=(x+y)²-4(x+y)+4
=[(x+y)-2]²
=(x+y-2)²
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来源:学生作业帮助网 编辑:作业帮 时间:2024/06/09 22:59:04
(x²+y²)²-4x²y² (x+y)²-4(x+y-1)因式分解
(x²+y²)²-4x²y²
=[(x²+y²)+2xy][(x²+y²)-2xy]
=(x²+2xy+y²)(x²-2xy+y²)
=(x+y)²(x-y)²
(x+y)²-4(x+y-1)
=(x+y)²-4(x+y)+4
=[(x+y)-2]²
=(x+y-2)²