Area of the square minus Perimeter of the square is equivalent to
9x²+18x+5.
What is area?
"Area is defined as total space occupied by any two dimensional object enclosed in it."
What is perimeter?
"Perimeter is the total distance covered around any two dimensional object."
Formula used
Area of a square = (side length)²
Perimeter of a square = 4 × side length
According to the question,
Given,
Side length of a square = 3x + 5
Substitute the value in the formula we get,
Area of a square = ( 3x + 5)²
Perimeter of a square = 4 × ( 3x + 5)
As per the question,
(Area of the square) - (Perimeter of the square)
= ( 3x + 5 )² - 4 (3x + 5)
= (3x + 5) ( 3x + 5 - 4)
= ( 3x + 5) (3x + 1)
= 9x² + 18x + 5
Hence, area of the square minus Perimeter of the square is equivalent to 9x²+18x+5.
Learn more about area and perimeter here
https://brainly.com/question/11957651
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