Answer
The polynomial identity should be used be Square of Binomial.
To prove
Definition of the Square of binomial
A square binomial is a trinomial that when factored gives you the square of a binomial.
For example, the trinomial x^2 + 2xy + y^2 is a perfect square binomial because it factors to (x + y)^2
[tex]The\ trinomial\ x^{2} +2xy + y^{2}is\ a\ perfect\ square\ binomial\ because\ it\ factors\ to\ (x + y)^2.[/tex]
As given
[tex]25^2 = (20 + 5)^2[/tex]
It is written as the trimonial
[tex]25^2 = (20^{2} + 5^2 +2\times 20\times 5)[/tex]
[tex]625= (400 + 25 +200)[/tex]
[tex]625= 625[/tex]
Also
16^2 = (10 + 6)^2
It is written as the trimonial
[tex]16^2 = (10^{2} + 6^2 +2\times 10\times 6)[/tex]
[tex]256 = (100+ 36 +120)[/tex]
[tex]256 = 256[/tex]
Therefore the Correct answer is Square of Binomial.
