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( a +b) ² / 2 ≤ a² + b²
a² + 2ab + b² ≤ 2 · (a² + b² )
a² + 2ab + b² ≤ 2a² + 2b²
0 ≤ 2a² + 2b² - a² - 2ab - b²
0 ≤ a² - 2ab + b²
0 ≤ ( a -b) ² adevarat daca a,b ∈R ₊