Factorise: a2 b2 – a2 – b2 + 1
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Answer:
(a - 1)(a + 1)(b- 1)(b + 1)
Step-by-step explanation:
a²b² - a² - b² + 1
= a²(b² - 1) - 1(b² - 1)
= (a² - 1)(b² - 1)
= {(a)² - (1)²}{(b)² - (1)²}
= (a - 1)(a + 1)(b - 1)(b + 1)
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