Explanation:
To divide the expression (a³ - a²b - ab + b²) by (a - b), we can use polynomial long division. Here are the steps:
```
a^2 + ab + b^2
-----------------------
a - b | a^3 - a^2b - ab + b^2
- (a^3 - ab^2)
-----------------------
ab - ab^2 + b^2
- (ab - b^2)
-----------------------
b^2
```
The quotient is a² + ab + b², and the remainder is b².
Therefore, the result of dividing (a³ - a²b - ab + b²) by (a - b) is a² + ab + b² with a remainder of b².