The given expression is m³ - m² + 2m - 2. 

To factorize this expression, we can group the terms and factor by grouping:

m³ - m² + 2m - 2 = m²(m - 1) + 2(m - 1)

Now, we can factor out the common factor of (m - 1):

m²(m - 1) + 2(m - 1) = (m - 1)(m² + 2)

So, the factorized form of the expression is (m - 1)(m² + 2).