List of Algebraic Formulae
1. (a + b)2 = a2 + b2 + 2ab
2. (a-b)2 = a2 + b2 – 2ab
3. (a + b) 2 = (a-b)2 + 4ab ...................(from 1 &2)
4. (a-b)2 = (a + b)2 – 4ab ...................(from 1 & 2)
5. (a + b)3 = a3 + 3a2b + 3ab2 + b3
OR
(a + b)3 = a3 + b3 + 3ab(a + b)
6. (a - b)3 = a3 - 3a2b + 3ab2 - b3
OR
(a - b)3 = a3 - b3 -3ab(a - b)
7. (a + b+ c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac
8. a2 – b2 = (a + b)(a-b)
9. a3 + b3 = (a + b)3 -3ab (a + b) = (a + b)(a2 –ab+ b2)
10. a3 – b3 = (a – b) (a2 +ab+ b2)= (a-b)3 +3ab (a – b)
11. (a + b)2 + (a – b)2 = 2
a2 + b2
12. (a + b)2 – (a –b)2 = 4
ab
13. a + b + c = a3 + b3 + c3 -3abc
a2 + b2 +c2 –ab –bc – ca
14. a2 +b2 + c2 – ab – bc – ca = ½ [ (a – b)2 + (b – c)2 + (c – a)2 ]
*** These Algebraice formulae are given in word format below. Interested candidates can download the same.