College

Simplify the expression:

[tex]\[ 4(5b - 6f - c) \][/tex]

A. [tex]\( 20b - 24f - 4c \)[/tex]

B. [tex]\( 45b - 46f - 4c \)[/tex]

C. [tex]\( 9b - 10f - 4c \)[/tex]

D. [tex]\( 20b + 24f + 4c \)[/tex]

Answer :

Let's simplify the expression [tex]\(4(5b - 6f - c)\)[/tex].

To simplify, we'll distribute the 4 into each term inside the parentheses:

1. Multiply 4 by each term inside the parentheses:

- For [tex]\(5b\)[/tex]: [tex]\(4 \times 5b = 20b\)[/tex]
- For [tex]\(-6f\)[/tex]: [tex]\(4 \times (-6f) = -24f\)[/tex]
- For [tex]\(-c\)[/tex]: [tex]\(4 \times (-c) = -4c\)[/tex]

2. Combine these results:

[tex]\[
20b - 24f - 4c
\][/tex]

Therefore, the simplified expression is [tex]\(20b - 24f - 4c\)[/tex].