Algebra Equation
Md. Suma Hossain
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) (a-b )
6. a2 +b2 = (a+b)2 -2ab
7. a2 +b2 = (a-b)2 +2ab
8. a2 +b2 = {(a+b)2 +(a-b)2}
9. 2(a2 +b2) = (a+b)2 +(a-b)2
10. 4ab = (a+b)2 -(a-b)2
11. ab = {(a+b)2 -(a-b)2}
12. (x+a)(x+b) = x2 +(a+b)x +ab
13. (x+a)(x-b) = x2 +(a-b)x -ab
14. (x-a)(x+b) = x2 -(a-b)x -ab
15. (x+a)(x+b)(x+c) = x3 +(a+b+c)x2 +(ab+bc+ca)x +abc
16. (p+x) (q+x) (r+x) = pqr +(pq +qr +rp)x +(p +q +r) x2 +x3
17. (a+b)3 = a3 +3a2b +3ab2 +b3
18. (a+b)3 = a3 +b3 +3ab(a+b)
19. (a- b)3 = a3 -3a2b +3ab2 -b3
20. (a- b)3 = a3 -b3 -3ab(a-b)
21. a3 +b3 = (a+b)(a2 -ab +b2)
22. a3 +b3 = (a+b)3 -3ab(a+b)
23. a3 - b3 = (a-b)(a2 +ab +b2)
24. a3 - b3 = (a-b)3 +3ab(a-b)
25. a3 +b3 +c3 -3abc = (a +b +c) (a2 +b2 +c2 -ab -bc -ca)
26. a3 +b3 +c3 -3abc = (a +b +c) {(a-b)2 +(b-c)2 +(b-a)2}
27. (a +b +c)2 = a2 +b2 +c2 +2ab +2bc +2ca
28. a2 +b2 +c2 = (a +b +c)2 -2(ab +bc +ca)
29. 2(ab +bc +ca) = (a +b +c)2 - (a2 +b2 +c2)
