Formulas of Algebra (বীজগণিতের সূত্রাবলী)
Formulas of Algebra (বীজগণিতের সূত্রাবলী) 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(a²+b²)= (a+b)²+(a-b)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. (a-b)³= a³-b³-3ab(a-b) 16. a³+b³= (a+b) (a²-ab+b²) 17. a³+b³= (a+b)³-3ab(a+b) 18. a³-b³ = (a-b) (a²+ab+b²) 19. a³-b³ = (a-b)³+3ab(a-b) 20. (a² + b² + c²) = (a + b + c)² – 2(ab + bc + ca) 21. 2 (ab + bc + ca) = (a + b + c)² – (a² + b² + c²) 22. (a + b + c)³ = a³ + b³ + c³ + 3 (a + b) (b + c) (c + a) 23. a³ + b³ + c³ – 3abc =(a+b+c)(a² + b²+ c²–ab–bc– ca) 24. a3 + b3 + c3 – 3abc =½ (a+b+c) { (a–b)²+(b–c)²+(c–a)²} 25. (x +...