已知x-y=2,xy=-1,求x^2y^4-4x^3y^3+x^4y^2的值
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![已知x-y=2,xy=-1,求x^2y^4-4x^3y^3+x^4y^2的值](/uploads/image/z/1615077-45-7.jpg?t=%E5%B7%B2%E7%9F%A5x-y%3D2%2Cxy%3D-1%2C%E6%B1%82x%5E2y%5E4-4x%5E3y%5E3%2Bx%5E4y%5E2%E7%9A%84%E5%80%BC)
已知x-y=2,xy=-1,求x^2y^4-4x^3y^3+x^4y^2的值
已知x-y=2,xy=-1,求x^2y^4-4x^3y^3+x^4y^2的值
已知x-y=2,xy=-1,求x^2y^4-4x^3y^3+x^4y^2的值
x^2y^4-4x^3y^3+x^4y^2
=x^2y^2(y^2-2xy+x^2)-2x^3y^3
=x^2y^2(y-x)^2-2x^3y^3
=1*4-2*(-1)
=1*4+2
=4+2
=6