Add: X2 - Y2 - 1 , Y2 - 1 - X2, 1- X2 - Y2

Add: x² - y² - 1 , y² - 1 - x², 1- x² - y²

(x² - y² - 1) + (y² - 1 - x²) + (1 - x² - y²)

= x² - y² - 1 + y² - 1 - x² + 1 - x² - y²

= x² - x² - x² − y² + y² - y² - 1 - 1 + 1

= x²(1 - 1 - 1) + y² (-1 + 1 - 1) + (- 1 - 1 + 1)

= -x² - y² - 1

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