Solve using brackets:
`82xx420`

Answer

To solve the problem \( 82 \times 420 \) using brackets, we can follow these steps:

### Step-by-Step Solution:

1. **Rewrite the multiplication using brackets:**
\[ 82 \times 420 = 82 \times (400 + 20) \]
Here, we have expressed 420 as the sum of 400 and 20.

2. **Apply the distributive property:**
\[ 82 \times (400 + 20) = 82 \times 400 + 82 \times 20 \]
This allows us to break down the multiplication into two simpler multiplications.

3. **Calculate \( 82 \times 400 \):**
\[ 82 \times 400 = 32800 \]
(We can calculate this by multiplying 82 by 4 and then adding two zeros.)

4. **Calculate \( 82 \times 20 \):**
\[ 82 \times 20 = 1640 \]
(We can calculate this by multiplying 82 by 2 and then adding one zero.)

5. **Add the two results together:**
\[ 32800 + 1640 = 34440 \]

### Final Answer:
\[ 82 \times 420 = 34440 \]