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Answer:

The area of the shaded region is 38x^2 - 12x

Step-by-step 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

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