What will come in the place of question mark (?) in following questions?
`(55)^(2)+ (18)^(2) -(42)^(2)`= ?

Options

A. 1585
B. 1586
C. 1558
D. 1558

Answer

To solve the expression \((55)^{2} + (18)^{2} - (42)^{2}\), we will follow these steps:

### Step 1: Calculate \( (55)^{2} \)
\[ (55)^{2} = 55 \times 55 = 3025 \]

### Step 2: Calculate \( (18)^{2} \)
\[ (18)^{2} = 18 \times 18 = 324 \]

### Step 3: Calculate \( (42)^{2} \)
\[ (42)^{2} = 42 \times 42 = 1764 \]

### Step 4: Substitute the values into the expression
Now, we substitute the calculated values into the expression:
\[ 3025 + 324 - 1764 \]

### Step 5: Perform the addition
First, we add \(3025\) and \(324\):
\[ 3025 + 324 = 3349 \]

### Step 6: Perform the subtraction
Now, we subtract \(1764\) from \(3349\):
\[ 3349 - 1764 = 1585 \]

### Final Answer
Thus, the value that comes in place of the question mark (?) is:
\[ \boxed{1585} \]

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