We know, that by Distributive law . Using this we can derive formula for a lot of algebraic expressions. I have deliberately not given the proof details as it is just simple application of the above law.
To find the product of
Product of Sum and Difference of two terms
Squares of Binomials
Perfect Square Trinomial
We know that , therefore every algebraic expression in the above form is called a perfect square.
Squares of Trinomials
Cubes of Binomials