What value will come in place of question mark(?) in the question
`(19)^2 - (?)^3 -sqrt676 + 16 = (18)^2`

Options

A. 3
B. 2
C. 4
D. 5

Answer

To solve the equation \( (19)^2 - (?)^3 - \sqrt{676} + 16 = (18)^2 \), we will follow these steps:

### Step 1: Substitute the variable
Let \( ? = x \). The equation can be rewritten as:
\[ (19)^2 - x^3 - \sqrt{676} + 16 = (18)^2 \]

### Step 2: Calculate the squares
Calculate \( (19)^2 \) and \( (18)^2 \):
\[ (19)^2 = 361 \]
\[ (18)^2 = 324 \]

### Step 3: Calculate the square root
Calculate \( \sqrt{676} \):
\[ \sqrt{676} = 26 \]

### Step 4: Substitute the values into the equation
Now substitute these values back into the equation:
\[ 361 - x^3 - 26 + 16 = 324 \]

### Step 5: Simplify the equation
Combine the constants on the left side:
\[ 361 - 26 + 16 = 351 \]
So the equation now looks like:
\[ 351 - x^3 = 324 \]

### Step 6: Rearrange the equation
Rearranging gives:
\[ 351 - 324 = x^3 \]
\[ 27 = x^3 \]

### Step 7: Solve for \( x \)
To find \( x \), take the cube root of both sides:
\[ x = \sqrt[3]{27} = 3 \]

### Conclusion
Thus, the value that comes in place of the question mark \( ? \) is:
\[ \boxed{3} \]