What will come in place of question mark (?) .
`5xx 3 xx 8 xx 2 - 2 xx 8 = ?`

Options

A. 224
B. 226
C. 228
D. 230

Answer

To solve the expression \( 5 \times 3 \times 8 \times 2 - 2 \times 8 = ? \), we can follow these steps:

### Step 1: Factor out the common term
We notice that both terms in the expression have a common factor of \( 2 \times 8 \).

### Step 2: Rewrite the expression
We can rewrite the expression by factoring out \( 2 \times 8 \):
\[ 5 \times 3 \times 8 \times 2 - 2 \times 8 = 2 \times 8 \times (5 \times 3 - 1) \]

### Step 3: Calculate the value inside the parentheses
Now, we need to calculate \( 5 \times 3 - 1 \):
\[ 5 \times 3 = 15 \]
\[ 15 - 1 = 14 \]

### Step 4: Substitute back into the expression
Now, substitute back into the expression:
\[ 2 \times 8 \times 14 \]

### Step 5: Calculate \( 2 \times 8 \)
Calculate \( 2 \times 8 \):
\[ 2 \times 8 = 16 \]

### Step 6: Multiply by 14
Now, multiply \( 16 \) by \( 14 \):
\[ 16 \times 14 \]

### Step 7: Perform the multiplication
To calculate \( 16 \times 14 \):
- Break it down:
\[ 16 \times 14 = 16 \times (10 + 4) = 16 \times 10 + 16 \times 4 \]
\[ 16 \times 10 = 160 \]
\[ 16 \times 4 = 64 \]
Now, add them together:
\[ 160 + 64 = 224 \]

### Final Answer
Thus, the final answer is:
\[ ? = 224 \]

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