`0.75xx 0.75+0.25xx 0.75xx 2+0.25xx 0.25`

Options

A. 2
B. `2.5`
C. 1
D. 3

Answer

To solve the expression \(0.75 \times 0.75 + 0.25 \times 0.75 \times 2 + 0.25 \times 0.25\), we can simplify it step by step.

### Step 1: Rewrite the expression
The expression can be rewritten as:
\[ 0.75^2 + 0.25 \times 0.75 \times 2 + 0.25^2 \]

### Step 2: Calculate \(0.75^2\)
Calculating \(0.75^2\):
\[ 0.75^2 = 0.5625 \]

### Step 3: Calculate \(0.25 \times 0.75 \times 2\)
Calculating \(0.25 \times 0.75 \times 2\):
\[ 0.25 \times 0.75 = 0.1875 \]
\[ 0.1875 \times 2 = 0.375 \]

### Step 4: Calculate \(0.25^2\)
Calculating \(0.25^2\):
\[ 0.25^2 = 0.0625 \]

### Step 5: Add all the values together
Now, we add all the calculated values:
\[ 0.5625 + 0.375 + 0.0625 \]

Calculating the sum:
\[ 0.5625 + 0.375 = 0.9375 \]
\[ 0.9375 + 0.0625 = 1.0 \]

### Final Result
Thus, the value of the expression \(0.75 \times 0.75 + 0.25 \times 0.75 \times 2 + 0.25 \times 0.25\) is:
\[ \boxed{1} \]