Question

Write a polynomial that represents the area of the square.

Answer 1

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  

Answer 2

The area of a square is side times side:

So the area of this square is (7n - 5) x (7n-5) or $(7n-5)^{2}$

Apply FOIL to solve this:

(7n-5) (7n - 5)  

(7n ⋅ 7n) = $49n^{2}$

(7n ⋅ -5) = -35n

(-5 ⋅ 7n) = -35n

(-5 ⋅ -5) = 25

Area of square: $49n^{2}$ -35n -35n + 25

                          = $49n^{2}$ -70n + 25

Happy to help!