Answer: The correct option is (B) ![c(b+3)d.](https://tex.z-dn.net/?f=c%28b%2B3%29d.)
Step-by-step explanation: We are given to identify the expression which could represent the statement "the product of c and a factor not dependent on c.
The first expression is ![c(b+c)d.](https://tex.z-dn.net/?f=c%28b%2Bc%29d.)
Since,
contains 'c', so it is not independent of 'c'.
Hence, option (A) is incorrect.
The second expression is ![c(b+3)d.](https://tex.z-dn.net/?f=c%28b%2B3%29d.)
Since,
does not contain 'c', so it is independent of 'c'.
Hence, option (B) is incorrect.
The third expression is ![b(c+3)d.](https://tex.z-dn.net/?f=b%28c%2B3%29d.)
Since, the given expression does not contain 'c', but it contains (c+3).
Hence, option (C) is incorrect.
The fourth expression is ![c(b+3)c.](https://tex.z-dn.net/?f=c%28b%2B3%29c.)
Since,
contains 'c', so it is not independent of 'c'.
Hence, option (D) is incorrect.
Thus, the correct option is (B).