Some Important Formulas
1. (a+b)2
= a2 + b2 + 2ab
2. (a-b)2
= a2 + b2 - 2ab
3. a2-b2
= (a + b) (a-b)
4. a3-b3
=(a-b) (a2+b2+ab)
5. a3+b3
=(a+b) (a2+b2-ab)
6. (a+b)3
= a3+b3=3a2b+3ab2
OR
=a3+b3-3ab(a+b)
7. (a-b)3
= a3-b3-3a2b+3ab2
OR
=a3-b3-3ab(a-b)
8. A3+b3+c3-3abc=
(a+b+c)(a2+b2+c2+2ab+2bc+2ca)
9. (a+b)2+(a-b)2=2a2+2b2
10. (a+b)2-(a-b)2=4ab
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