What value should come in place of question mark (?)
`(1.06+0.04)^2-?=4xx1.06xx0.04`

Options

A. 1.0404
B. 1.4
C. 1.5
D. 1.45

Answer

To solve the equation \((1.06 + 0.04)^2 - ? = 4 \times 1.06 \times 0.04\), we will follow these steps:

### Step 1: Expand the left side of the equation
We start by expanding \((1.06 + 0.04)^2\) using the formula \((a + b)^2 = a^2 + 2ab + b^2\).

\[ (1.06 + 0.04)^2 = 1.06^2 + 2 \times 1.06 \times 0.04 + 0.04^2 \]

### Step 2: Calculate \(1.06^2\), \(0.04^2\), and \(2 \times 1.06 \times 0.04\)
Now, we compute each term:

- \(1.06^2 = 1.1236\)
- \(0.04^2 = 0.0016\)
- \(2 \times 1.06 \times 0.04 = 0.0848\)

Putting these values together:

\[ (1.06 + 0.04)^2 = 1.1236 + 0.0848 + 0.0016 = 1.2100 \]

### Step 3: Substitute back into the equation
Now, we substitute back into the equation:

\[ 1.2100 - ? = 4 \times 1.06 \times 0.04 \]

### Step 4: Calculate \(4 \times 1.06 \times 0.04\)
Next, we calculate the right side:

\[ 4 \times 1.06 \times 0.04 = 0.1696 \]

### Step 5: Set up the equation to solve for ?
Now we have:

\[ 1.2100 - ? = 0.1696 \]

### Step 6: Solve for ?
Rearranging gives:

\[ ? = 1.2100 - 0.1696 \]

Calculating this gives:

\[ ? = 1.0404 \]

### Final Answer
Thus, the value that should come in place of the question mark (?) is:

\[ \boxed{1.0404} \]