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Question

The factors of x3 − 1 + y3 + 3xy are

(a) (x − 1 + y) (x2 + 1 + y2 + x + y − xy)

(b) (x + y + 1) (x2 + y2 + 1 −xy − x − y)

(c) (x − 1 + y) (x2 − 1 − y2 + x + y + xy)

(d) 3(x + y −1) (x2 + y2 − 1)

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Solution

The given expression to be factorized is

This can be written in the form

Recall the formula

Using the above formula, we have

So, the correct choice is (a).


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