Algebra Formulas For Class 11
All the important algebra formulas for class 11 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 algebra in many chapters like the algebra of real numbers, algebra of complex numbers, algebra of derivative of function and algebra of event. These chapters include many algebraic formulae which are tough to remember.
List of Algebra Formulas for Class 11
We believe, Algebra Formulas for class 11 will help students to learn them and gain confidence in solving algebraic problems
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Algebra Formulas For Class 11 |
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| 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, then
an – bn = (a – b)(an-1 + an-2b +an-3b2 + …+ abn-2 + bn-1) |
| 15 | If n is odd, then
an + 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 |