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Question

Factorise:
$z - 7 + 7 x y - x y z$
$(z - x y) (1 - x z)$
$(z - 7) (1 - x y)$
$z (7 - x z y)$
$5408 x^{2} y^{2} z (z + x) (x y + y z + x z + y^{2})^{2}$

A

(z - 7) (1 - x y)

B

(z - x y) (1 - x z)

C

(z + 7) (x - y)

D

z (7 - x z y)

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Solution

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$z - 7 + 7 x y - x y z$
$= z - 7 - x y z + 7 x y$
$= 1 (z - 7) - x y (z - 7)$
$= (z - 7) (1 - x y)$
[Taking $z - 7$ common]

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