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]
