For this case we have the following definition:
[tex](x - y) ^ 2 = x ^ 2 - 2xy + y ^ 2
[/tex]
We use the definition for the given polynomial.
We have then:
[tex](4x - 5) ^ 2
[/tex]
Rewriting:
[tex](4x - 5) ^ 2 = 16x ^ 2 - 40x + 25
[/tex]
Answer:
The polynomial in its expanded form is given by:
[tex]16x ^ 2 - 40x + 25[/tex]