Question

factorise a²b²-a²-b²+1

Answer 1

Step-by-step explanation:

a^2b^2 - a^2 - b^2 + 1

a^2(b^2 -1) - 1 (b^2-1)

(a^2-1)(b^2-1)

(a+1)(a-1)(b+1)(b-1)

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Answer 2

Answer:

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Step-by-step explanation:

Given equation is

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]

hence the factorised form is

(a²-1)(b²-1)

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