Complete cubic sum formula
(a+b)^3
=(a+b)(a+b)(a+b)
=
(a^2+2ab+b^2)(a+b)=a^3
+
3(a^2)b
+
3a(b^2)+
b^3
Complete cubic difference formula
(a-b)^3
=
(a-b)(a-b)(a-b)= 1
(a^2-2ab+b^2)(a-b)
=
a^3
-
3(a^2)b
+
3a(b^2)-b^3
Cubic sum formula:
a^3+b^3
=
(a+b)
(a^2-ab+b^2)
Cubic difference formula:
a^3-b^3=(a-b)
(a^2+ab+b^2)
Three cubic sum formula:
a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ac)