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Mathematics

Factorise the following:

x3 - x2 - xy + x + y - 1

Factorisation

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Answer

Rearrange the above terms we get,

x3 - x2 - xy + y + x - 1

= x2(x - 1) - y(x - 1) + 1(x - 1)

= (x - 1)(x2 - y + 1).

Hence, x3 - x2 - xy + x + y - 1 = (x - 1)(x2 - y + 1).

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