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বীজ গনিতের সুত্র: (1) (a + b)² = a² + 2ab + b² (2) (a + b)² = (a – b)² + 4ab 3) (a – b)² = a² – 2ab + b² 4) (a – b)² = (a + b)² – 4ab 5) a² + b² = (a + b)² – 2ab 6) a² + b² = (a – b)² + 2ab 7) a² – b² =(a + b)(a – b) 8) 2(α² + в²) = (a + в)² + (a – в)² 9) 4ab = (a + b)² -(a – b)² 10) ab = {(a + b)/2}² – {(a – b)/2}² 11) (a + b + c)² = a² + b² + c² + 2(ab + bc + ca) 12) (a + b)³ = a³ + 3a²b + 3ab² + b³ 13) (a + b)³ = a³ + b³ + 3ab (a + b) 14) (a – b)³= a³ – 3a²b + 3ab² – b³ 15) a³ + b³ = (a + b) (a² – ab + b²) 16) a³ + b³ = (a + b)³ – 3ab (a + b) 17) a³ -b³ = (a – b) (a² + ab + b²) (18) a³ – b³ = (a – b)³ + 3ab (a – b) ( 19) (a + b + c)² = a² + b² + c² + 2(ab + bc + ca) sin(A + B) = sinA.cosB + cisA.sinB sin(A - B) = sinA.cosB - cisA.sinB cos(A + B) = cosA.cosB - sinA.sinB cos(A - B) = cosA.cosB + sinA.sinB tan(A + B) = tanA + tanB1 - tanA.tanB tan(A - B) = tanA - tanB1 + tanA.tanB cot(A + B) = cotA.cotB - 1cotA + cotB cot(A - B) = cotA.cotB + 1cotB - cotA sin(A + B).sin(A - B) = sin2A - sin2B = cos2B - cos2A cos(A + B).cos(A - B) = cos2A - sin2B = cos2B - sin2A

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