Which of the following is right ?

Options

A. `(a-b)^(2)gea^(2)+b^(2)-2ab`
B. `(a-b)^(2)lea^(2)+b^(2)-2ab`
C. `(1-b)^(2)=a^(2)-2ab+b^(2)`
D. `(a-b)^(2)=a^(2)+2ab+b^(2)`

Answer

To solve the question, we need to analyze the expression \( (a - b)^2 \) and compare it with the other expressions provided in the options. Let's break it down step by step.

### Step 1: Understand the expression \( (a - b)^2 \)
The expression \( (a - b)^2 \) can be expanded using the formula for the square of a binomial:
\[ (a - b)^2 = a^2 - 2ab + b^2 \]

### Step 2: Compare with the given options
We need to check if any of the options provided in the question match the expansion we derived. The options mentioned seem to suggest different forms of \( (a - b)^2 \).

### Step 3: Analyze the options
1. **Option A:** \( (a - b)^2 = a^2 - 2ab + b^2 \) (This is correct as per our expansion)
2. **Option B:** \( (a - b)^2 = a^2 + 2ab + b^2 \) (This is incorrect)
3. **Option C:** \( (a - b)^2 = a^2 - 2ab + b^2 \) (This is also correct as per our expansion)

### Step 4: Determine the correct option
From our analysis:
- Option A is correct.
- Option B is incorrect.
- Option C is correct.

However, the question asks which of the following is right, and since we are looking for the most accurate representation of \( (a - b)^2 \), we conclude that:
- The correct expression is indeed \( (a - b)^2 = a^2 - 2ab + b^2 \).

### Step 5: Conclusion
Thus, the correct option is **Option A**.