Give an example of a polynomial that is a perfect square. How do you know that it is a perfect square? Give its factored form.

Answer:
Step-by-step explanation:
A polynomial is a perfect square if has the form:
[tex]a^2+2ab+b^2[/tex]
Its factored form is [tex](a+b)^2[/tex].
We can obtain examples by taking any value of a and b.
For example:
[tex]a=x[/tex] anb [tex]b=2y[/tex].
Thus we obtain a polynomial that is a perfect square:
[tex]x^2+2(x)(2y)+(2y)^2=x^2+4xy+4y^2[/tex]