ষষ্ঠ শ্রেনী থেকে দশম শ্রেণী পর্যন্ত সকল গানিতিক সূত্র

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দেখে নিন ষষ্ঠ শ্রেনী থেকে দশম শ্রেণী পর্যন্ত সকল গানিতিক সূত্রগুলো। পোষ্টটি বেশি বেশি শেয়ার করুন।

  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

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