বীজ গনিতের সুত্র

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বীজ গনিতের সুত্র সমূহঃ
▪ (a + b)² = a² + 2ab + b²
▪ (a + b)² = (a – b)² + 4ab
▪ (a – b)² = a² – 2ab + b²
▪ (a – b)² = (a + b)² – 4ab
▪ a² + b² = (a + b)² – 2ab
▪ a² + b² = (a – b)² + 2ab
▪ a² – b² = (a + b)(a – b)
▪ 2(α² + в²) = (a + в)² + (a – в)²
▪ 4ab = (a + b)² -(a – b)²
▪ ab = {(a + b)/2}² – {(a – b)/2}²
▪ (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
▪ (a + b)³ = a³ + 3a²b + 3ab² + b³
▪ (a + b)³ = a³ + b³ + 3ab (a + b)
▪ (a – b)³= a³ – 3a²b + 3ab² – b³
▪ a³ + b³ = (a + b) (a² – ab + b²)
▪ a³ + b³ = (a + b)³ – 3ab (a + b)
▪ a³ -b³ = (a – b) (a² + ab + b²)
▪ a³ – b³ = (a – b)³ + 3ab (a – b)
▪ (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)