Factorize : $(x + y) (2 x + 3 y) - (x + y) (x + 1)$

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Solution

Given that:
$(x + y) (2 x + 3 y) - (x + y) (x + 1)$

$= (x + y) [(2 x + 3 y) - (x + 1)]$ [ Taking $(x + y)$ common]

$= (x + y) [2 x + 3 y - x - 1]$

$= (x + y) [x + 3 y - 1] .$

This is the required solution.

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