Fill in the blanks.
`5x^(2)(x-y)` = _______

Answer

To solve the expression \( 5x^{2}(x - y) \), we will use the distributive property of multiplication over subtraction.

### Step-by-Step Solution:

1. **Identify the Expression**: We have the expression \( 5x^{2}(x - y) \).

2. **Apply the Distributive Property**: According to the distributive property, we can distribute \( 5x^{2} \) to both \( x \) and \( -y \). This means we will multiply \( 5x^{2} \) by \( x \) and then by \( -y \).

\[ 5x^{2}(x - y) = 5x^{2} \cdot x + 5x^{2} \cdot (-y) \]

3. **Calculate Each Term**:
- For the first term:
\[ 5x^{2} \cdot x = 5x^{3} \]
- For the second term:
\[ 5x^{2} \cdot (-y) = -5x^{2}y \]

4. **Combine the Results**: Now, we combine the results of the two multiplications:
\[ 5x^{3} - 5x^{2}y \]

5. **Final Answer**: Therefore, the expression \( 5x^{2}(x - y) \) simplifies to:
\[ 5x^{3} - 5x^{2}y \]

### Fill in the Blank:
The answer to fill in the blank is:
\[ 5x^{3} - 5x^{2}y \]