若x^4+y^4=15,xy^2-x^2y=-5,求x^4-y^4+3xy^2-x^2y-2xy^2+2y^4

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若x^4+y^4=15,xy^2-x^2y=-5,求x^4-y^4+3xy^2-x^2y-2xy^2+2y^4
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若x^4+y^4=15,xy^2-x^2y=-5,求x^4-y^4+3xy^2-x^2y-2xy^2+2y^4
若x^4+y^4=15,xy^2-x^2y=-5,求x^4-y^4+3xy^2-x^2y-2xy^2+2y^4

若x^4+y^4=15,xy^2-x^2y=-5,求x^4-y^4+3xy^2-x^2y-2xy^2+2y^4
x^4-y^4+ 3xy^2-x^2y-2xy^2+2y^4
= (x^2)^2-(y^2)^2+xy(3y-x-2y)+2(y^2)^2
=(x^2)^2+(y^2)^2+xy(y-x)
=10

若x^4+y^4=15,xy^2-x^2y=-5,求x^4-y^4+3xy^2-x^2y-2xy^2+2y^4
x^4-y^4+ 3xy^2-x^2y-2xy^2+2y^4
= (x^2)^2-(y^2)^2+xy(3y-x-2y)+2(y^2)^2
=(x^2)^2+(y^2)^2+xy(y-x)
=(x^2)^2+(y^2)^2+xy^2-x^2y
=15-5
=10

10

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