What will come in place of question mark (?) in the following questions
`(28)^(2) + (12)^(3) + (38)^(2) = (65)^(2) - ?`

Options

A. 275
B. 269
C. 281
D. 264

Answer

To solve the equation \( (28)^2 + (12)^3 + (38)^2 = (65)^2 - ? \), we will follow these steps:

### Step 1: Calculate \( (28)^2 \)
\[ (28)^2 = 28 \times 28 = 784 \]

### Step 2: Calculate \( (12)^3 \)
\[ (12)^3 = 12 \times 12 \times 12 = 144 \times 12 = 1728 \]

### Step 3: Calculate \( (38)^2 \)
\[ (38)^2 = 38 \times 38 = 1444 \]

### Step 4: Calculate \( (65)^2 \)
\[ (65)^2 = 65 \times 65 = 4225 \]

### Step 5: Add the results from Steps 1, 2, and 3
\[ 784 + 1728 + 1444 \]
Calculating this step-by-step:
- First, add \( 784 + 1728 = 2512 \)
- Then, add \( 2512 + 1444 = 3956 \)

### Step 6: Set up the equation
Now we have:
\[ 3956 = 4225 - ? \]

### Step 7: Solve for the question mark (?)
Rearranging the equation gives:
\[ ? = 4225 - 3956 \]

### Step 8: Calculate the value of ?
\[ ? = 4225 - 3956 = 269 \]

Thus, the value that will come in place of the question mark (?) is **269**.