作业帮化简(x+Y)^2(y+z-x)(z+x-y)+(x-y)^2(x+y+z)(x+y-z)
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/03 05:24:54
化简(x+Y)^2(y+z-x)(z+x-y)+(x-y)^2(x+y+z)(x+y-z)
化简(x+Y)^2(y+z-x)(z+x-y)+(x-y)^2(x+y+z)(x+y-z)
化简(x+Y)^2(y+z-x)(z+x-y)+(x-y)^2(x+y+z)(x+y-z)
设a=x+y,b=x-y,a+b=2x,a-b=2y
(x+Y)^2(y+z-x)(z+x-y)+(x-y)^2(x+y+z)(x+y-z)
=a^2(z-b)(z+b)+b^2(a+z)(a-z)
=a^2(z^2-b^2)+b^2(a^2-z^2)
=a^2z^2-a^2b^2+a^2b^2-b^2z^2
=a^2z^2-b^2z^2
=z^2(a^2-b^2)
=z^2(a+b)(a-b)
=z^2(2x*2y)
=4xyz^2
我笔算的_____答案:4xy(z)方.....一张纸啊
化简(y-x)(z-x)/(x-2y+z)(x+y-2z)+（z-y)(x-y)/(x-2z+y)(y+z-2x)+(x-z)(y-z)/(y+z-2x)(x-2y+z)
化简(x+Y)^2(y+z-x)(z+x-y)+(x-y)^2(x+y+z)(x+y-z)
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