Answer:
The area of the shaded region is 38x^2 - 12x
Explanation:
The area of the shaded region is [(8x - 1) * 6x] - [(5x + 3) * 2x]
(8x - 1) * 6x = 6x*8x - 6x*1 = 48x^2 - 6x
(5x + 3) * 2x = 5x*2x + 2x*3 = 10x^2 + 6x
So now we have:
(48x^2 - 6x) - (10x^2 + 6x)
-6x - (+6x) = -12x
48x^2 - 10x^2 = 38x^2
The area of the shades region is 38x^2 - 12x