Final answer:
The simplified expression for the area of the rectangle with sides 3x+2 and 3x-2, applying the difference of squares formula, is 9x² - 4.
Step-by-step explanation:
To find the simplified expression for the area of the shaded rectangle with sides 3x+2 and 3x-2, we multiply the length by the width as follows:
Area = (3x + 2)(3x - 2)
You can apply the difference of squares formula, which is a² - b² = (a + b)(a - b), where a is 3x and b is 2. Thus, the area simplifies to:
Area = (3x)² - (2)²
Area = 9x² - 4
The simplified expression for the area of the rectangle is 9x² - 4.