Simplify:- 92^2 - 12^2 = 3535 + ?

Options

A. a. 4885
B. b. 4785
C. c. 5795
D. d. 11855

Answer

To solve the equation \( 92^2 - 12^2 = 3535 + ? \), we will follow these steps:

### Step 1: Calculate \( 92^2 \)
First, we need to find the square of 92.
\[ 92^2 = 8464 \]

### Step 2: Calculate \( 12^2 \)
Next, we calculate the square of 12.
\[ 12^2 = 144 \]

### Step 3: Substitute the values into the equation
Now we substitute these values into the equation:
\[ 8464 - 144 = 3535 + ? \]

### Step 4: Perform the subtraction on the left side
Now we perform the subtraction:
\[ 8464 - 144 = 8320 \]

### Step 5: Rewrite the equation
Now we rewrite the equation with the calculated values:
\[ 8320 = 3535 + ? \]

### Step 6: Isolate the question mark
To find the value of the question mark, we will isolate it by subtracting 3535 from both sides:
\[ ? = 8320 - 3535 \]

### Step 7: Perform the subtraction
Now we perform the subtraction:
\[ 8320 - 3535 = 4785 \]

### Final Answer
Thus, the value of the question mark is:
\[ ? = 4785 \]

---