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Use algebra tiles to find (8x2+10x+10)+(4x+9).
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Combine like terms. For example, write 3 instead of 1 + 1 + 1.

Answer 1

To combine the expressions \((8x^2 + 10x + 10) + (4x + 9)\) using algebra tiles, we can visualize each term with tiles corresponding to their degree:

- **For \(8x^2\):** We have 8 tiles of \(x^2\).
- **For \(10x\):** We have 10 tiles of \(x\).
- **For \(10\):** We have 10 unit tiles (1).
- **For \(4x\):** We have 4 additional tiles of \(x\).
- **For \(9\):** We have 9 additional unit tiles (1).

Now, let's organize these:

1. **Tiles of \(x^2\):**
- 8 from the first expression.
- Combine: \(8x^2\).

2. **Tiles of \(x\):**
- 10 from the first expression and 4 from the second expression.
- Combine: \(10x + 4x = 14x\).

3. **Unit tiles (1):**
- 10 from the first expression and 9 from the second expression.
- Combine: \(10 + 9 = 19\).

Now, we can write the combined expression:

\[
8x^2 + 14x + 19
\]

Thus, the sum of \((8x^2 + 10x + 10) + (4x + 9)\) is:

\[
\boxed{8x^2 + 14x + 19}
\]