Answer: The given expression can be factorized as (2k - 3)(k² - 1) using the difference between squares.
Step-by-step explanation: To factorize the given expression using the difference between squares, we need to identify terms that can be written as the square of some other term.
We can rewrite the expression as:
(2k³ - 3k²) - (2k - 3)
Now, we can factor out the common terms from each bracket:
k²(2k - 3) - 1(2k - 3)
We can see that both brackets have a common factor of (2k - 3), which we can factor out:
(2k - 3)(k² - 1)
Therefore, the given expression can be factorized as (2k - 3)(k² - 1) using the difference between squares.