作业帮(x^3+y^3)^2-4xy[x^4+x^2y^2+y^4-2xy(x^2-xy+y^2)]因式分解
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/13 03:52:58
![(x^3+y^3)^2-4xy[x^4+x^2y^2+y^4-2xy(x^2-xy+y^2)]因式分解](/uploads/image/z/2699837-53-7.jpg?t=%28x%5E3%2By%5E3%29%5E2-4xy%5Bx%5E4%2Bx%5E2y%5E2%2By%5E4-2xy%28x%5E2-xy%2By%5E2%29%5D%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
(x^3+y^3)^2-4xy[x^4+x^2y^2+y^4-2xy(x^2-xy+y^2)]因式分解
(x^3+y^3)^2-4xy[x^4+x^2y^2+y^4-2xy(x^2-xy+y^2)]因式分解
(x^3+y^3)^2-4xy[x^4+x^2y^2+y^4-2xy(x^2-xy+y^2)]因式分解
（x^3+y^3)^2-4xy[x^4+x^2y^2+y^4-2xy(x^2-xy+y^2)]
=(x+y)^2(x^2-xy+y^2)^2-4xy[(x^2+y^2)^2-x^2y^2-2xy(x^2-xy+y^2)]
=(x+y)^2(x^2-xy+y^2)^2-4xy[(x^2+xy+y^2)(x^2-xy+y^2)-2xy(x^2-xy+y^2)]
=(x+y)^2(x^2-xy+y^2)^2-4xy(x^2-xy+y^2)(x^2+xy+y^2-2xy)
=(x^2-xy+y^2)^2[(x+y)^2-4xy]
=(x^2-xy+y^2)^2(x-y)^2
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化简：2x²y+{2xy-[3x²y-2(-3x²y+2xy)]-4xy}化简：2x²y+{2xy-[3x²y-2(-3x²y+2xy)]-4xy}
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