1. **State the problem:** We have a wall that is a 10 feet by 10 feet square, so its total area is $10 \times 10 = 100$ square feet. 2. A square window with side length $x$ feet is installed in the wall. The area of this window is $x \times x = x^2$ square feet. 3. **Find the remaining wall area:** The remaining wall area after installing the window is the total wall area minus the window area. 4. Write the expression for the remaining area: $$\text{Remaining area} = 100 - x^2$$ 5. **Factor the remaining area:** Recognize that $100 - x^2$ is a difference of squares, which factors as: $$100 - x^2 = (10)^2 - (x)^2 = (10 - x)(10 + x)$$ 6. **Interpretation:** The factors $(10 - x)$ and $(10 + x)$ represent the dimensions related to the remaining wall space after the window is installed. **Final answer:** The factors representing the area of the remaining wall space are $$(10 - x)(10 + x)$$.