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Question

Which of the following is a factor of (x+y)3(x3+y3)?


  1. 3xy


Solution

The correct option is C

3xy


Given, P(x) = (x+y)(x+y)2(x+y)(x2xy+y2)

= (x+y)(x2+2xy+y2)(x+y)(x2xy+y2)

= (x+y)(3xy)

Hence, 3xy is a factor for the given polynomial expression.

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