All the important algebra formulas are listed below, to ease students to search for them. This list will help students not to miss any formula while studying for competitive or board exams.
CBSE Class 11 consists of algebra in many chapters like the algebra of real numbers, algebra of complex numbers, algebra of derivative of function, and algebra of events. These chapters include many algebraic formulae which are tough to remember.
List of Algebra Formulas
We believe Algebra Formulas for class 11 will help students to learn them and gain confidence in solving algebraic problems
| Algebra Formulas For Class 11 | |
| 1 | (a + b)2 = a2 + 2ab + b2 |
| 2 | (a – b)2= a2– 2ab + b2 |
| 3 | (a + b)3 = a3 + 3ab(a + b) + b3 |
| 4 | (a – b)3 = a3 – 3ab(a – b) – b3 |
| 5 | a2 – b2= (a + b)(a – b) |
| 6 | a3 – b3 = (a – b)(a2 + ab + b2) |
| 7 | a3 + b3 = (a + b)(a2 – ab + b2) |
| 8 | a4 – b4 = (a2 – b2)(a2 + b2) |
| 9 | a5 – b5 = (a – b)(a4+ a3b + a2b2 + ab3 + b4 ) |
| 10 | a5 + b5 = (a + b)(a4 – a3b + a2b2– ab3 + b4 ) |
| 11 | (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac |
| 12 | (a – b – c)2 = a2 + b2 + c2– 2ab + 2bc – 2ac |
| 13 | a3 + b3+ c3– 3abc = (a + b + c)(a2 + b2 + c2 – ab – bc – ca |
| 14 | If n is even, thenan – bn = (a – b)(an-1 + an-2b +an-3b2 + …+ abn-2 + bn-1) |
| 15 | If n is odd, thenan + bn = (a + b)(an-1 – an-2b +an-3b2 – …- abn-2 + bn-1) |
| 16 | (am )(an ) = am+n |
| 17 | (ab)m = ambm |
| 18 | (am)n = amn |
