Find the following products using the appropriate identity:
`(x+11)(x-11)`

Answer

To find the product of \((x + 11)(x - 11)\) using the appropriate identity, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the identity**: We will use the difference of squares identity, which states that:
\[ (a + b)(a - b) = a^2 - b^2 \]
In our case, we can let \(a = x\) and \(b = 11\).

2. **Apply the identity**: Substitute \(a\) and \(b\) into the identity:
\[ (x + 11)(x - 11) = x^2 - 11^2 \]

3. **Calculate \(11^2\)**: Now we need to compute \(11^2\):
\[ 11^2 = 121 \]

4. **Write the final expression**: Substitute \(11^2\) back into the equation:
\[ (x + 11)(x - 11) = x^2 - 121 \]

### Final Answer:
\[ (x + 11)(x - 11) = x^2 - 121 \]