Write a polynomial that represents the area of the square.

Answer:
The answer to your question is Area = 49n² - 70n + 25
Step-by-step explanation:
Data
Length of the side = 7n - 5
Formula
Area of a square = side x side
Process
1.- Substitute values
Area = (7n - 5)(7n - 5)
2.- Expand
Area = 49n² - 35n - 35n + 25
3.- Simplify
Area = 49n² - 70n + 25
4.- The polynomial is 49n² - 70n + 25
The area of a square is side times side:
So the area of this square is (7n - 5) x (7n-5) or [tex](7n-5)^{2}[/tex]
Apply FOIL to solve this:
(7n-5) (7n - 5)
(7n ⋅ 7n) = [tex]49n^{2}[/tex]
(7n ⋅ -5) = -35n
(-5 ⋅ 7n) = -35n
(-5 ⋅ -5) = 25
Area of square: [tex]49n^{2}[/tex] -35n -35n + 25
= [tex]49n^{2}[/tex] -70n + 25
Happy to help!