বীজগনিতের সূত্র সমুহ
বর্গ নির্ণয়ের জন্য
(a + b)² = a² + 2ab + b²
(a – b)² = a² – 2ab + b²
(a + b + c)² = (a² + b² + c²) + 2(ab + bc + ca)
(a – b)² = a² – 2ab + b²
(a + b + c)² = (a² + b² + c²) + 2(ab + bc + ca)
মান নির্ণয়ের জন্য
(a + b)² = (a – b)² + 4ab
(a – b)² = (a + b)² – 4ab
a² + b² = (a + b)² – 2ab
a² + b² = (a – b)² + 2ab
a³ + b³ = (a + b)³ – 3ab (a + b)
a³ – b³ = (a – b)³ + 3ab (a – b)
4ab = (a + b)² -(a – b)²
ab = {(a + b)/2}² – {(a – b)/2}²
(a + b)² = (a – b)² + 4ab
(a – b)² = (a + b)² – 4ab
a² + b² = (a + b)² – 2ab
a² + b² = (a – b)² + 2ab
a³ + b³ = (a + b)³ – 3ab (a + b)
a³ – b³ = (a – b)³ + 3ab (a – b)
4ab = (a + b)² -(a – b)²
ab = {(a + b)/2}² – {(a – b)/2}²
উৎপাদকের জন্য
a² – b² =(a + b)(a – b)
a³ + b³ = (a + b) (a² – ab + b²)
a³ -b³ = (a – b) (a² + ab + b²)
a² – b² =(a + b)(a – b)
a³ + b³ = (a + b) (a² – ab + b²)
a³ -b³ = (a – b) (a² + ab + b²)