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
Explanation
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)
Related MCQs
- 2x² + 4 = 9x
- 2x² + 9 = 4x
- 2x² + 9 = 4x
- x² + 4 = 9x
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