ALGEBRAIC IDENTITIES
FATHER OF ALGEBRA IMPORTANT FORMULAE OF ALGEBRA 1. (a+b)^2 = a^2 + b^2 + 2ab 2. (a-b)^2 = a^2 + b^2 - 2ab 3. (a+b)^2 = (a-b)^2 + 4ab 4. (a-b)^2 = (a+b)^2 - 4ab 5. a^2 - b^2 = (a-b)(a+b) 6. a^3 + b^3 = (a+b)(a^2 + b^2 - 2ab) 7. a^3 - b^3 = (a-b)(a^2 + b^2 + 2ab) 8. (a+b)^3 = a^3 + b^3 + 3ab(a+b) 9. (a-b)^3 = a^3 - b^3 - 3ab(a-b) 10. a^3 + b^3 = (a+b)^3 - 3ab(a+b) 11. a^3 - b^3 = (a-b)^3 + 3ab(a-b) 12. a^3 + b^3 + c^3 - 3abc = (a+b+c)(a^2 + b^2 + c^2 - ab - bc - ac) OR a^3 + b^3 + c^3 - 3abc = (a+b+c)1/2{2(a^2) + 2(b^2) + 2(c^2) - 2ab -2bc -2ac} OR ...