Algebra formula

 Using these identities :

1. (a+b)^2 = a*a + 2ab+b*b
2. (a-b)^2 = a*a – 2ab +b*b
3. a*a – b*b = (a+b)( a-b)
4. a^4 – b^4 = (a^2)^2 –( b^2)^2= (a*a+ b*b)(a*a – b*b) = (a*a + b*b)(a-b)(a+b)
5. (a+b)^3 = a^3 + b^3 + 3ab(a+b)
6. a^3 + b^3 =( a+b)(a*a +ab + b*b)
7. (a-b)^3 = a^3- b^3 – 3ab (a-b)
8. a^3- b^3= (a-b) (a*a+ ab +b*b)
9. (a+b+c)^2 = a*a + b*b +c*c + 2ab+2bc+2ca
10. a^3+b^3+c^3- 3abc = (a+b+c)(a*a + b*b + c*c –ab – bc- ac)