2 more days to Valentine

Algebra Level 5

( x 2 y 2 ) ( 1 x 2 y 2 ) [ ( 1 + x 2 ) ( 1 + y 2 ) ] 2 \large \frac{(x^2-y^2)(1-x^2y^2)}{[(1+x^2)(1+y^2)]^2} If x x and y y are real numbers, find the product of the maximum and minimum value of the expression above to 4 decimal places


The answer is -0.0625.

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