因式分解:x^4+2(x^3)*y-3(x^2)(y^2)-4x(y^3)-y^4

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因式分解:x^4+2(x^3)*y-3(x^2)(y^2)-4x(y^3)-y^4

因式分解:x^4+2(x^3)*y-3(x^2)(y^2)-4x(y^3)-y^4
因式分解:x^4+2(x^3)*y-3(x^2)(y^2)-4x(y^3)-y^4

因式分解:x^4+2(x^3)*y-3(x^2)(y^2)-4x(y^3)-y^4
x^4+2x^3y+x^2y^2-(4x^2y^2+4xy^3+y^4)=x^2(x+y)^2-y^2(2x+y)^2=(x^2+xy+2xy+y^2)(x^2+xy-2xy-y^2)
=(x^2+3xy+y^2)(x^2-xy-y^2)