Answer:
(a) 2cd(7 -14c)
Explanation:
You want the expression 14cd -28cd written in a factored form.
Common factors
The factors of the first term are ...
2·7·c·d
The factors of the second term are ...
2·2·7·c·c·d
Factors these terms have in common are ...
2·7·c·d
Factored form
Factoring out the greatest common factor would give ...
14cd(1 -2c)
This doesn't match any answer choices, but we get a match if we leave the factor of 7 inside parentheses:
14cd -28c²d = 2cd(7 -14c) . . . . . . matches choice A
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