MATH SOLVE

2 months ago

Q:
# Identify the expression which could represent the statement "the product of c and a factor not dependent on c.A) c(b + c)dB) c(b + 3)dC) b(c + 3)dD) c(b + 3)c

Accepted Solution

A:

Answer: The correct option is (B) [tex]c(b+3)d.[/tex]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 [tex]c(b+c)d.[/tex]Since, [tex](b+c)d.[/tex] contains 'c', so it is not independent of 'c'.Hence, option (A) is incorrect.The second expression is [tex]c(b+3)d.[/tex]Since, [tex](b+3)d.[/tex] does not contain 'c', so it is independent of 'c'.Hence, option (B) is incorrect.The third expression is [tex]b(c+3)d.[/tex]Since, the given expression does not contain 'c', but it contains (c+3).Hence, option (C) is incorrect.The fourth expression is [tex]c(b+3)c.[/tex]Since, [tex](b+3)c.[/tex] contains 'c', so it is not independent of 'c'.Hence, option (D) is incorrect.Thus, the correct option is (B).