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বীজগণিতের কিছু সুত্র দিলাম । • (a + b)² = a² + 2ab + b² • (a - b)² = a² - 2ab + b² • (a + b)² = (a - b)² + 4ab • (a - b)² = (a + b)² - 4ab • a² + b² = 1/2{(a + b)² + (a - b)²} • (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca • (a - b - c)² = a² + b² + c² - 2ab - 2bc - 2ca • a² + b² + c² = (a + b + c)² - 2(ab + bc + ca) • a³ + b³ = (a + b)³ - 3ab(a + b) • a³ - b³ = (a - b)³ + 3ab(a - b) • (a + b)³ = a³ + 3a²b + 3ab² + b³ • (a - b)³ = a³ - 3a²b + 3ab² - b³ • a³ + b³ + c³ - 3abc = (a + b + c)(a² + b² + c² - ab - bc - ca) • a³ + b³ + c³ - 3abc = 1/2(a + b + c){(a - b)²+ (b - c)² + (c - a)²}
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