Factorize the equation: a²b² – a² – b² + a = _____?

(a + 1)(a – 1)(b + 1)

(a – 1)(ab² + b² – a)

(a + 1)(a + 1)(b² – 1)

None of these

To factorize the equation:

a²b² - a² - b² + a

Rearrange the terms:

a²b² - b² - a² + a

Factor out common terms:

b²(a² - 1) - (a² - a)

Recognize the difference of squares:

b²(a + 1)(a - 1) - (a² - a)

Now, factor by grouping:

(a - 1)(ab² + b² - a)