Factorise: (a²-1)(b²-1)+4ab ​

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Factorise: (a²-1)(b²-1)+4ab

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Josie 1 month 2021-08-16T18:51:35+00:00 1 Answer 0 views 0

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    2021-08-16T18:53:34+00:00

    (a2 - 1) (b2 - 1) + 4ab \\  = a2b2 - a2 - b2 + 1 + 2ab + 2ab \\  = (ab)2 + 2(ab)(1) + 12 - (a2 - 2ab + b2) \\  = (ab + 1)2 - (a - b)2 \\  = (ab + 1 + a - b)(ab + 1 - a + b)

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