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Factorisation by Regrouping Terms

Simplify: z ...

Question

Simplify:
$z - 7 + 7 x y - x y z$

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Solution

Given:
$z - 7 + 7 x y - x y z$

$= z - x y z - 7 + 7 x y$

$= z (1 - x y) - 7 (1 - x y)$

$= (1 - x y) (z - 7)$

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