Fill in the blanks.
`x^(2)- y^(2)` = ______

Answer

To solve the problem, we need to fill in the blank for the expression \( x^2 - y^2 \).

### Step-by-Step Solution:

1. **Identify the Formula**: The expression \( x^2 - y^2 \) is a difference of squares. There is a well-known algebraic identity for this:
\[ a^2 - b^2 = (a - b)(a + b) \]
Here, \( a \) and \( b \) can be any two terms.

2. **Substitute Values**: In our case, we can let \( a = x \) and \( b = y \). Therefore, we can rewrite the identity as:
\[ x^2 - y^2 = (x - y)(x + y) \]

3. **Fill in the Blank**: Based on the identity we derived, we can fill in the blank:
\[ x^2 - y^2 = (x - y)(x + y) \]

### Final Answer:
The expression \( x^2 - y^2 \) can be filled in as:
\[ (x - y)(x + y) \]

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