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Factorize the expression $c - 12 + 12 ab - abc$ .

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(abc - 1) (a - 12)

(ab - 1) (c - 12)

(1 - ab) (c - 12)

(1 - ab) (12 - c)

answer is C.

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Detailed Solution

Given expression is

c - 12 + 12 ab - abc

.
Regroup the given terms in an expression,

c - 12 + 12 ab - abc = c - abc - 12 + 12 ab

.
Take out

c

from first two terms and

12

from last two terms.

c - 12 + 12 ab - abc = c (1 - ab) - 12 (1 - ab)

Take

(1 - ab),

which is shared by both terms.

c - 12 + 12 ab - abc = (1 - ab) (c - 12)

.
Therefore, option 3 is correct.

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