分解因式:(x+y)的四次方+(x²+y²)²+(x-y)的四次方
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/10 09:45:31
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分解因式:(x+y)的四次方+(x²+y²)²+(x-y)的四次方
分解因式:(x+y)的四次方+(x²+y²)²+(x-y)的四次方
分解因式:(x+y)的四次方+(x²+y²)²+(x-y)的四次方
(x+y)的四次方+(x²+y²)²+(x-y)的四次方
=(x+y)的四次方+2(x²+y²)²+(x-y)的四次方-(x²+y²)²
=[(x+y)²+(x-y)²]²-(x²+y²)²
=(x²+2xy+y²+x²-2xy+y²-x²-y²)(x²+2xy+y²+x²-2xy+y²+x²+y²)
=(x²+y²)(3x²+3y²)
=3(x²+y²)²
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