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-a² - b² - 2ab + (a + b)² = 0
a² + b² + 2ab - (a + b)² = 0
a² + b² = -2ab + (a + b)²
a² + b² = (a + b)² - 2ab
=a² + b² + 2ab - 2ab
= (a² + 2ab+ b²) - 2ab
= (a+b)² - 2ab