Simplify:
`(1-ab)^(2)-(1+ab)^(2)`

Answer

To simplify the expression \((1-ab)^{2} - (1+ab)^{2}\), we can follow these steps:

### Step 1: Identify the expression
We start with the expression:
\[ (1-ab)^{2} - (1+ab)^{2} \]

### Step 2: Apply the difference of squares formula
We can recognize that this expression is in the form of a difference of squares, which can be factored as:
\[ a^{2} - b^{2} = (a-b)(a+b) \]
Here, let \(a = (1-ab)\) and \(b = (1+ab)\). Thus, we can rewrite the expression as:
\[ ((1-ab) - (1+ab))((1-ab) + (1+ab)) \]

### Step 3: Simplify the first factor
Now, simplify the first factor:
\[ (1-ab) - (1+ab) = 1 - ab - 1 - ab = -2ab \]

### Step 4: Simplify the second factor
Next, simplify the second factor:
\[ (1-ab) + (1+ab) = 1 - ab + 1 + ab = 2 \]

### Step 5: Combine the factors
Now, we can combine the simplified factors:
\[ (-2ab)(2) = -4ab \]

### Final Answer
Thus, the simplified expression is:
\[ \boxed{-4ab} \]

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