Product of sum and difference of two terms
(x+y)(x-y)
x^2-y^2 = (x+y)(x-y)
What is (a+b)^2
a^2 + b^2 + 2ab
What is (a-b) ^2
a^2 + b^2 - 2ab
(a+1/a)^2
a^2+1/a^2+2
(a-1/a)^2
a^2 + 1/a^2 - 2
(a+b+c)^2
a^2 + b^2 + c^2 + 2(ab+bc+ca)
(a+b-c)^2
a^2 + b^2 + c^2 + 2ab - 2bc - 2ca
(a+b)^3
a^3 + b^3 + 3ab(a+b)
(a-b)^3
a^3 - b^3 - 3ab(a-b)