The various algebraic identities useful for IBPS PO and Clerk Bank exams and for other competitive exams like SBI PO-Clerk exams and other UPSC and PSC exams are as follows:
2. (a + b)2 = a2+ 2ab + b2
3. (a - b)2 = a2 - 2ab + b2
4. (a + b)2 = (a - b)2 + 4ab
5. (a - b)2 = (a + b)2 - 4ab
6. (a - b) (a + b) = a2 - b2
7. (a + b)2 = a3 + 3ab (a + b) + b3
8. (a - b)3 = a3 - 3ab (a - b) - b3
9. a3 + b3 = (a + b) (a2 - ab + b2)
10. a3 - b3 = (a - b) (a2 + ab + b2)
11. (a + b)2 + (a - b)2 = 2 (a2 + b2)
12. (a + b)2 - (a - b)2 = 4ab
1. a x (b + c) = a x b + a x c
2. (a + b)2 = a2+ 2ab + b2
3. (a - b)2 = a2 - 2ab + b2
4. (a + b)2 = (a - b)2 + 4ab
5. (a - b)2 = (a + b)2 - 4ab
6. (a - b) (a + b) = a2 - b2
7. (a + b)2 = a3 + 3ab (a + b) + b3
8. (a - b)3 = a3 - 3ab (a - b) - b3
9. a3 + b3 = (a + b) (a2 - ab + b2)
10. a3 - b3 = (a - b) (a2 + ab + b2)
11. (a + b)2 + (a - b)2 = 2 (a2 + b2)
12. (a + b)2 - (a - b)2 = 4ab
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