Simplify:
$x^{2} + x - (p^{2} - 5 p + 6)$

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Solution

Now,

$x^{2} + x - (p^{2} - 5 p + 6)$

$= x^{2} + x - (p - 3) (p - 2)$

$= x^{2} + {(p - 2) - (p - 3)} x - (p - 3) (p - 2)$

$= (x + p - 2) (x - p + 3)$ .

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