Solve using brackets:
`74xx306`

Answer

To solve the expression \( 74 \times 306 \) using brackets, we can break down the numbers into simpler components. Here’s how we can do it step by step:

### Step 1: Break down the numbers
We can express \( 74 \) as \( 70 + 4 \) and \( 306 \) as \( 300 + 6 \).

\[ 74 \times 306 = (70 + 4) \times (300 + 6) \]

### Step 2: Apply the distributive property
Now, we will use the distributive property (also known as the FOIL method for binomials) to expand the expression:

\[ (70 + 4) \times (300 + 6) = 70 \times 300 + 70 \times 6 + 4 \times 300 + 4 \times 6 \]

### Step 3: Calculate each multiplication
Now we will calculate each of these products:

1. \( 70 \times 300 = 21000 \)
2. \( 70 \times 6 = 420 \)
3. \( 4 \times 300 = 1200 \)
4. \( 4 \times 6 = 24 \)

### Step 4: Add all the products together
Now, we will add all these results together:

\[ 21000 + 420 + 1200 + 24 \]

Calculating this step by step:

1. \( 21000 + 420 = 21420 \)
2. \( 21420 + 1200 = 22620 \)
3. \( 22620 + 24 = 22644 \)

### Final Answer
Thus, the final answer is:

\[ 74 \times 306 = 22644 \]

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