已知x^4+y^4=50,x^2y-xy^2=14,求代数式x^4-y^4+3xy^2-5x^2y+3x^2y+2y^4的值

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已知x^4+y^4=50,x^2y-xy^2=14,求代数式x^4-y^4+3xy^2-5x^2y+3x^2y+2y^4的值

已知x^4+y^4=50,x^2y-xy^2=14,求代数式x^4-y^4+3xy^2-5x^2y+3x^2y+2y^4的值
已知x^4+y^4=50,x^2y-xy^2=14,求代数式x^4-y^4+3xy^2-5x^2y+3x^2y+2y^4的值

已知x^4+y^4=50,x^2y-xy^2=14,求代数式x^4-y^4+3xy^2-5x^2y+3x^2y+2y^4的值
x^4- y^4+3xy^2-xy^2-5x^2y+3x^2y+2y^4
=x^4+ y^4+2xy^2-2x^2y
=50-2*(-14)
=78

x^4- y^4+3xy^2-xy^2-5x^2y+3x^2y+2y^4
=x^4+ y^4+2xy^2-2x^2y
=50-2*(-14)
=78

x^4- y^4+3xy^2-xy^2-5x^2y+3x^2y+2y^4
=x^4+ y^4+2xy^2-2x^2y
=50-2*(-14)
=78