Factorise $a^{2} - a c + x c - x a + 6 a - 6 c$

(2 a + c) (x - 2)

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(a - c) (a - x + 6)

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(2 a - c) (x - 7)

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(a + c) (a - x + 9)

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Solution

The correct option is B $(a - c) (a - x + 6)$
$a^{2} - a c + x c - x a + 6 a - 6 c = a (a - c) + x (c - a) + 6 (a - c)$
$= a (a - c) - x (a - c) + 6 (a - c)$
$= (a - c) (a - x + 6)$

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