()) Use algebra tiles to find \( \left(9 x^{2}+9 x+8\right)-\left(2 x^{2}+4\right) \)

To solve the expression \( \left(9x^{2} + 9x + 8\right) - \left(2x^{2} + 4\right) \) using **algebra tiles**, follow these steps: ### **Understanding Algebra Tiles** Algebra tiles are a visual and tactile way to represent and manipulate algebraic expressions. Here's a quick guide to the tiles we'll use: - **\(x^{2}\) tiles:** Typically represented as large squares. - **\(x\) tiles:** Represented as rectangles. - **Unit tiles:** Represented as small squares. ### **Step-by-Step Solution** 1. **Represent the First Expression \( (9x^{2} + 9x + 8) \):** - **\(9x^{2}\) tiles:** 9 large squares. - **\(9x\) tiles:** 9 rectangles. - **8 unit tiles:** 8 small squares. Visually, arrange these tiles to represent the expression:  *(Imagine a collection of tiles: 9 large squares, 9 rectangles, and 8 small squares.)* 2. **Represent the Subtracted Expression \( (2x^{2} + 4) \):** - **\(2x^{2}\) tiles:** 2 large squares. - **4 unit tiles:** 4 small squares. Visually:  *(Imagine 2 large squares and 4 small squares.)* 3. **Subtract the Tiles:** - **Remove \(2x^{2}\) tiles:** Take away 2 of the 9 large squares. - **Remove 4 unit tiles:** Take away 4 of the 8 small squares. After removal: - **Remaining \(x^{2}\) tiles:** \(9 - 2 = 7x^{2}\) - **Remaining \(x\) tiles:** \(9x\) (unchanged) - **Remaining unit tiles:** \(8 - 4 = 4\) Visually:  *(Imagine 7 large squares, 9 rectangles, and 4 small squares.)* 4. **Combine the Remaining Tiles into the Simplified Expression:** \[ 7x^{2} + 9x + 4 \] ### **Final Answer** \[ \boxed{7x^{2} + 9x + 4} \] This simplified expression represents the result of subtracting \( (2x^{2} + 4) \) from \( (9x^{2} + 9x + 8) \) using algebra tiles.