Algebraic Formulas || ❝ বীজ গণিতের সূত্র ❞

মান নির্ণয়ের বর্গের সূত্র

1. (a + b)² = a² + 2ab + b²
2. (a - b)² = a² - 2ab + b²
3. (a + b)² = (a - b)² + 4ab
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. a² + b² = (a + b)² - 2ab
9. 2(a² + b²) = (a + b)² + (a - b)²
10. 4ab = (a + b)² - (a - b)²
11. (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)

মান নির্ণয়ের ঘনের সূত্র

1. (a + b)³ = a³ + 3a²b + 3ab² + b³
2. (a + b)³ = a³ + b³ + 3ab(a + b)
3. (a - b)³ = a³ - 3a²b + 3ab² - b³
4. (a - b)³ = a³ - b³- 3ab(a - b)
5. a³ + b³ = (a + b) (a² - ab + b²)
6. a³ + b³ = (a + b)³ - 3ab(a + b)
7. a³ - b³ = (a - b) (a² + ab + b²)
8. a³ - b³ = (a - b)³ + 3ab(a - b)
9. (a2 + b2 + c2) = (a + b + c) 2 – 2(ab + bc + ca)
10. 2 (ab + bc + ca) = (a + b + c) 2 – (a2 + b2 + c2)
11. (a + b + c) 3 = a3 + b3 + c3 + 3 (a + b) (b + c) (c + a)
12. a3 + b3 + c3 – 3abc = (a+b+c)(a2 + b2+ c2–ab–bc– ca)
13. a3 + b3 + c3 – 3abc = (a+b+c) { (a–b) 2+(b–c) 2+(c–a) 2}
14. (x + a) (x + b) = x2 + (a + b) x + ab
15. (x + a) (x – b) = x2 + (a – b) x – ab
16. (x – a) (x + b) = x2 + (b – a) x – ab
17. (x – a) (x – b) = x2 – (a + b) x + ab