বীজ গণিতের সকল সুত্র একসাথে
- 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. (a + b + c) 2 = (a2 + b2 + c2) + 2 (ab + bc + ca)
- 10. (a2 + b2 + c2) = (a + b + c) 2 – 2(ab + bc + ca)
- 11. 2 (ab + bc + ca) = (a + b + c) 2 – (a2 + b2 + c2)
- 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. (a + b + c) 3 = a3 + b3 + c3 + 3 (a + b) (b + c) (c + a)
- 21. a3 + b3 + c3 – 3abc = (a + b + c) (a2 + b2+ c2 – ab – bc – ca)
- 22. a3 + b3 + c3 – 3abc = (a + b + c) { (a – b) 2 + (b – c) 2 + (c – a) 2 }
- 23. (x + a) (x + b) = x2 + (a + b) x + ab
- 24. (x + a) (x – b) = x2 + (a – b) x – ab
- 25. (x – a) (x + b) = x2 + (b – a) x – ab
- 26. (x – a) (x – b) = x2 – (a + b) x + ab
- 27. (x + p) (x + q) (x + r) = x3 + (p + q + r) x2 + (pq + qr + rp) x +pqr