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
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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+y²)(x²-y²)-(x+y)²(x-y)²其中x=4,y=1/4
(x²+y²)(x²-y²)-(x+y)²(x-y)²
=(x²+y²)(x²-y²)-(x²-y²)²
=(x²-y²)(x²+y²-x²+y²)
=2y²(x²-y²)
=2(1/16)(16-1/16)
=1/8*(16-1/16)
=2-1/96
=191/96