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

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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:
   
   ![First Expression](https://i.imgur.com/FirstExpression.png) 
   
   *(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:
   
   ![Subtracted Expression](https://i.imgur.com/SubtractedExpression.png)
   
   *(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:
   
   ![Remaining Tiles](https://i.imgur.com/RemainingTiles.png)
   
   *(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.
$$ 7x^{2} + 9x + 4 $$

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

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