Question

Identify the expression which could represent the statement "the product of c and a factor not dependent on c."
A.
c(b + 3)d
B.
b(c + 3)d
C.
c(b + 3)c
D.
c(b + c)d

Answer 1

Answer:The correct answer is B.

Step-by-step explanation:

Answer 2

Answer:

b(c + 2)bd.

Step-by-step explanation:

Examine the terminology used in the verbal description to correctly match it to the expression.

"The product of b and a factor dependent on b" implies that two things are being multiplied due to the use of the term product. The first factor in the description is b and the second factor is a factor depending on b. Since the second factor depends on b, this factor must include an operation that utilizes b.

Consider the expression below.

In this expression, the factor (c + 2)bd is being multiplied by b. Since (c + 2)bd also involves an operation that utilizes b, this is a factor dependent on b.

Therefore, the expression that represents the given statement is b(c + 2)bd.