List of formulae

=Algebraic Identities=
 * $$(a+b)(a-b)=a^2-b^2$$
 * $$(a+b)^2=a^2+2ab+b^2$$
 * $$(a-b)^2=a^2-2ab+b^2$$
 * $$(x+a)(x+b)=x^2+x(a+b)+ab$$
 * $$(x+a)(x+b)(x+c)=x^3+x^2(a+b+c)+x(ab+bc+ca)+abc$$
 * $$(a+b)^3=a^3+3ab(a+b)+b^3$$
 * $$(a-b)^3=a^3-3ab(a-b)-b^3$$
 * $$a^3+b^3=(a+b)(a^2-ab+b^2)$$
 * $$a^3-b^3=(a-b)(a^2+ab+b^2)$$
 * $$(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca$$
 * $$a^4+a^2b^2+b^4=(a^2+b^2+ab)(a^2+b^2-ab)$$
 * $$(a+b+c)^3-a^3-b^3-c^3=3(a+b)(b+c)(c+a)$$
 * $$(a+b)(b+c)(c+a)=(a+b+c)(ab+bc+ca)-abc$$

=Geometric Results=

=Formulae for commercial arithmetic= =Statistical Formulae= =Mensuration=