Final answer:
The expression 14cd - 28c²d can be factored by finding the greatest common factor, which is 14cd, leading to the factored form 14cd(1 - 2c). There may have been a typo in the provided options, but the correct answer should resemble option A: 2cd(7 - 14c).
Step-by-step explanation:
To factor the expression 14cd − 28c²d, we first look for the greatest common factor (GCF) that is present in both terms. We see that both terms have cd and the number 14 as common factors. We can factor out 14cd from both terms.
The factored expression is:
14cd(1 − 2c)
But, since none of the options provided matches this result exactly, there might have been a typo in the given choices. However, if we look closely at option A, it seems to be the closest to the correct factored form if we assume a typo in the second term of the parentheses. So, the correct answer, assuming there was a minor typo in the options, would be:
2cd(7 − 14c)