Factorise by regrouping 1+a²b²+a²+b² – InterviewSolution

1.

Factorise by regrouping 1+a²b²+a²+b²

Answer»

Answer:

(a²-1)(b²-1)

Step-by-step EXPLANATION:

a²b²-a²-b²+1

=>a²(b²-1)-1(b²-1) [taking a²common from first two terms and -1

common from last two terms]

=>(b²-1)(a²-1) [taking (b²-1) common from both the terms]

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