Mathematics

Factorise :

x2 + y2 + x + y + 2xy

Factorisation

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Answer

Given,

    x2 + y2 + x + y + 2xy

= x2 + y2 + 2xy + x + y

= (x + y)2 + (x + y)

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

Hence, x2 + y2 + x + y + 2xy = (x + y)(x + y + 1).

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