Answer:
see explanation
Explanation:
(1)
the area (A) of a square is calculated as
A = s² (s is the side length )
here s = x + 1 , then
A = (x + 1)(x + 1) ← expand using FOIL
= x² + 2x + 1
(2)
the area (A) of a rectangle is calculated as
A = length × width
here length = x - 7 and width = 5 , then
A = (x - 7) × 5 = 5x - 35
The area of the shaded region
= area of square - area of rectangle
= x² + 2x + 1 - (5x - 35)
= x² + 2x + 1 - 5x + 35 ← collect like terms
= x² - 3x + 36