Question
Factorize of the following algebraic expression:
$(x - y)^2 + (x - y)$
$(x - y)^2 + (x - y)$
✓
Answer
$(x - y)^2 + (x - y)$
$= (x -y)(x - y) + (x - y)$ [taking $(x - y)$ as the common factor]
$= (x - y + 1)(x - y)$
$= (x -y)(x - y) + (x - y)$ [taking $(x - y)$ as the common factor]
$= (x - y + 1)(x - y)$
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