x² - y2 – [x² + y² – {x² - y2 – (x² + y² – x² - y2)}]
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Step-by-step explanation:
x²-y²-[x²+y²-{x²-y²-(x²+y²-|x²-y²|)}]
=x²-y²-[x²+y²-{x²-y²-(x²+y²-x²+y²)}]
=x²-y²-[x²+y²-{x²-y²-2y²}]
=x²-y²-[x²+y²-{x²-3y²}]
=x²-y²-[x²+y²-x²+3y²]
=x²-y²-[4y²]
=x²-y²-4y²
=x²-5y²
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