Use algebra tiles to find $$ \left(3 x^{2}-9 x\right)+\left(10 x^{2}-6 x\right) $$

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To add the polynomials $$ (3x^{2} - 9x) $$ and $$ (10x^{2} - 6x) $$ using **algebra tiles**, follow these steps:

### Step 1: Represent Each Polynomial with Algebra Tiles

1. **First Polynomial: $$ 3x^{2} - 9x $$**
   - **$$ 3x^{2} $$**: Represented by **3 square tiles** (each square tile represents $$ x^{2} $$).
   - **$$ -9x $$**: Represented by **9 rectangular tiles** with a negative sign (each rectangle tile represents $$ -x $$).

2. **Second Polynomial: $$ 10x^{2} - 6x $$**
   - **$$ 10x^{2} $$**: Represented by **10 square tiles**.
   - **$$ -6x $$**: Represented by **6 rectangular tiles** with a negative sign.

### Step 2: Combine Like Terms

1. **Combine $$ x^{2} $$ Terms**:
   - **3 square tiles + 10 square tiles = 13 square tiles**
   - This represents $$ 13x^{2} $$.

2. **Combine $$ x $$ Terms**:
   - **-9 rectangular tiles + (-6) rectangular tiles = -15 rectangular tiles**
   - This represents $$ -15x $$.

### Step 3: Write the Combined Polynomial

After combining like terms, the resulting polynomial is:

$$
13x^{2} - 15x
$$

### Visual Summary

- **$$ x^{2} $$ Tiles**: $$ 3 + 10 = 13 $$ tiles
- **$$ x $$ Tiles**: $$ -9 + (-6) = -15 $$ tiles

So, $$ (3x^{2} - 9x) + (10x^{2} - 6x) = 13x^{2} - 15x $$.
Combine like terms: $$ 3x^{2} + 10x^{2} = 13x^{2} $$ and $$ -9x - 6x = -15x $$. The result is $$ 13x^{2} - 15x $$.

Use algebra tiles to find \( \left(3 x^{2}-9 x\right)+\left(10 x^{2}-6 x\right) \)

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