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2.(a + b) 2= (a – b) 2 +
4ab

3.(a – b) 2 = a 2 – 2ab +
b 2

4.(a – b) 2 = (a + b)
2 – 4ab

5. a 2 + b 2 = (a + b) 2 –
2ab

6. a2 + b2 = (a – b) 2 +
2ab

7. a 2 – b 2 = (a + b) – (a
– b)

8. 2 (a 2 +b 2) = (a + b) 2
+ (a – b) 2

9. (a + b + c) 2 = (a 2 + b
2 + c 2) + 2 (ab + bc +

10. (a 2 + b 2 + c 2) = (a+b+c) 2 – 2(ab + bc +
ca)

11. 2 (ab + bc + ca) = (a+
b+c) 2 – (a2 + b2 + c2)

12. (a + b)³= a³ + 3a2b +
3ab2 + b³

13. (a + b) ³= a³ + b³ +
3ab (a + b)

14. (a – b) ³= a³ – 3a2b +
3ab2 – b3

15. (a – b) ³= a³– b³-3ab (a – b)

16. a³ + b³ = (a + b) (a2 –
ab + b2)

17. a³ + b³ = (a + b) ³–
3ab (a + b)

18. a³ – b³ = (a – b) (a2 +
ab + b2)

19. a³ – b³ = (a – b) ³+
3ab (a – b)

20. (a + b + c) ³= a³ + b³ +
c³ + 3 (a + b) (b + c) (c +
a)

21. a³ + b³+ c³ – 3abc = (a+b+c) (a2 + b2 + c2–
ab – bc – ca)

14. 4ab = (a + b) 2– (a –

15. (x + a) (x + b) = x2 +
(a + b) x + ab

16. (x + a) (x – b) = x2 +
(a – b) x – ab

17. (x – a) (x + b) = x2 +
(b – a) x – ab

18. (x – a) (x – b) = x2 –
(a + b) x + ab

19. ab = (a+b/2) 2 – (a-b/2) 2

20. a 2 + b 2 = 1/2 (a+b)2+(a-b) 2