The polynomial representing the area of the is 49n² - 25
<h3>How to determine the polynomial</h3>
The formula for area of a square is expressed as;
Area = a²
Where a is the side length
From the image shown, we can see that the side length takes the value (7n - 5)
Substitute the value into the formula
Area = a²
Area = (7n - 5)²
Area = (7n - 5) ( 7n + 5); this is so because of the difference of two squares
Expand the bracket
Area = 49n² + 35n - 35n - 25
collect like terms
Area = 49n² - 25
Thus, the polynomial representing the area of the cube is 49n² - 25
Learn more about a square here:
brainly.com/question/24487155
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