1. ( a + b)2 = a2+ 2ab + b2
= (a - b)2 + 4ab
2. ( a - b)2 = a2 - 2ab + b2
= ( a + b) 2 - 4ab
3. a 2 - b2 = ( a + b)(a - b)
4. a 2 + b2 = ( a + b) 2 - 2ab
= (a - b)2 + 2ab
5. 2( a 2 + b2 ) = ( a + b )2 + ( a - b )2
6. 4ab = ( a + b)2 - ( a - b )2
7. ( a + b)3 = a 3 + 3a2b + 3ab2 + b3
= a 3 + b3 +3ab ( a + b)
8. (a - b)3 = a 3 - 3a2b + 3ab2 - b3
= a 3 - b3 - 3ab ( a - b)
9. a 3 <sup>2</sup> b3 = ( a + b)(a2 - ab + b2 )
= ( a + b )3 - 3ab ( a + b)
10. a 3 - b3 = ( a - b) (a2 + ab + b2 )
= ( a - b )3 + 3ab ( a - b)
11. ( a + b + c)2 = a 2 + b2 + c2+ 2ab + 2bc + 2ca
12. ( a - b - c)2 = a 2 + b2 + c2 - 2ab + 2bc -2ca
13. a 3 + b3 + c3 - 3abc = ( a + b + c) ( a 2 + b2 + c2- ab -bc -ca )
সুচকের সুত্র
1. a m x a n
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