化简求值:(x2+y2)(x2-y2)-(x+y)2(x-y)2,其中x= 4,y=1/4.

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化简求值:(x2+y2)(x2-y2)-(x+y)2(x-y)2,其中x=4,y=1/4.化简求值:(x2+y2)(x2-y2)-(x+y)2(x-y)2,其中x=4,y=1/4.化简求值:(x2+y

化简求值:(x2+y2)(x2-y2)-(x+y)2(x-y)2,其中x= 4,y=1/4.
化简求值:(x2+y2)(x2-y2)-(x+y)2(x-y)2,其中x= 4,y=1/4.

化简求值:(x2+y2)(x2-y2)-(x+y)2(x-y)2,其中x= 4,y=1/4.
(x^2+y^2)(x^2-y^2)-(x+y)^2*(x-y)^2
=(x^2+y^2)(x^2-y^2)-(x^2 - y^2)^2
=(x^2-y^2)[(x^2+y^2)-(x^2-y^2)]
=2y^2*(x^2-y^2)
=2y^2*(x+y)(x-y)
=2*(1/16)*(4+ 1/4)*(4 - 1/4)
=(1/8)*(17/4)*(15/4)
=255/124