College

We appreciate your visit to Simplify tex 6 4c 8 7 1 3c tex A tex 27c 1 tex B tex 3c 41 tex C tex 3c 1 tex D. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Simplify:

[tex]\[ 6(4c + 8) - 7(1 + 3c) \][/tex]

A) [tex]\( 27c + 1 \)[/tex]
B) [tex]\( 3c + 41 \)[/tex]
C) [tex]\( 3c + 1 \)[/tex]
D) [tex]\( 31c + 8 \)[/tex]

Answer :

To simplify the expression [tex]\(6(4c + 8) - 7(1 + 3c)\)[/tex], let's follow these steps:

1. Distribute the Numbers:
- Multiply the 6 across the terms inside the first parenthesis:
[tex]\[
6 \times 4c = 24c \quad \text{and} \quad 6 \times 8 = 48
\][/tex]
So, [tex]\(6(4c + 8)\)[/tex] becomes [tex]\(24c + 48\)[/tex].

- Multiply the -7 across the terms inside the second parenthesis:
[tex]\[
-7 \times 1 = -7 \quad \text{and} \quad -7 \times 3c = -21c
\][/tex]
So, [tex]\(-7(1 + 3c)\)[/tex] becomes [tex]\(-7 - 21c\)[/tex].

2. Combine the Expressions:
- Now combine the results from the two parts:
[tex]\[
24c + 48 - 7 - 21c
\][/tex]

3. Combine Like Terms:
- Combine the [tex]\(c\)[/tex] terms:
[tex]\[
24c - 21c = 3c
\][/tex]

- Combine the constant terms:
[tex]\[
48 - 7 = 41
\][/tex]

4. Write the Final Expression:
- The simplified expression is:
[tex]\[
3c + 41
\][/tex]

So, the correct answer is B) [tex]\(3c + 41\)[/tex].

Thanks for taking the time to read Simplify tex 6 4c 8 7 1 3c tex A tex 27c 1 tex B tex 3c 41 tex C tex 3c 1 tex D. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada