an algebraic expression based upon the side length, x, of the small squares which we have cut out. Here's how you can do it:
1. Identify the original square side length, which is 11 inches.
2. Identify the side length of the small square that's being cut out, which is x inches.
3. To find out the side length of the remaining portion of the square, we need to subtract twice the side length of the small square (since a square is being cut from each corner) from the original square side. Therefore, the remaining side length would be 11 - 2x inches.
4. To find out the area of the remaining portion of the square, we square the side length of the remaining square piece. The area is always calculated as the length of one side of the square, squared. So, the remaining square area is (11 - 2x)² square inches.
5. In conclusion, the area of the remaining portion of the square after cutting out the smaller squares from each corner can be represented by the algebraic expression (11 - 2x)² square inches.