Final answer:
To simplify the expression, start by performing the operations inside the brackets. Factor the numerator and distribute the negative sign. Combine like terms and simplify the expression.
Step-by-step explanation:
To simplify the expression, we need to perform the operations inside the brackets first.
Let's start by simplifying the expression inside the brackets: (4b³ - 25b² + 14b - 2) / (4b - 1).
We can factor the numerator: (4b³ - 25b² + 14b - 2) = (b - 2)(4b² - 17b + 1).
Then, the expression simplifies to: 4 - [(b - 2)(4b² - 17b + 1)] - b² + b + c.
We can distribute the negative sign in front of the brackets and simplify further.
Finally, combine like terms and simplify the expression to its simplest form.