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Question

By grouping the terms in x3 - x2 - xy + x + y - 1, we get


A

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

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B

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

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C

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

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D

(y - 1) (x2 - y2 - 1)

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Solution

The correct option is C

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


x3 - x2 - xy + x + y - 1

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

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


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