Factorise $z - 7 + 7 x y - x y z$ .

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Solution

z - 7 + 7xy - xyz
= (z - 7) + xy(7 - z)
= (z - 7) - xy(z - 7)
= (z - 7)(1 - xy)

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z - 7 + 7 x y - x y z

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