Factorize each of the following algebraic expressions:

Question:

Factorize each of the following algebraic expressions:
(x − y)2 + (x − y)

Solution:

$(x-y)^{2}+(x-y)$

$=(x-y)(x-y)+(x-y) \quad[$ Taking $(x-y)$ as the common factor $]$

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

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