Answer:
Area = 5x^2 +7x -26
Step-by-step explanation:
The area of the shaded region can be found if you substruct the small rectangle from the big one. The area of any rectangle is calculated if you multiply width and height.
In other words:
A_small = (x-3)(x-6) = x^2-9x +18
A_big = (2x+2)(3x-4) = 6x^2 -2x -8
A_big - A_small = (6x^2 -2x -8) - (x^2-9x +18)
= 6x^2 -2x -8 - x^2 + 9x -18
= 5x^2 +7x -26
