Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Simplify this algebraic expression completely.

[tex]\(8y - 2(y + 4)\)[/tex]

A. [tex]\(6y - 8\)[/tex]

B. [tex]\(6y + 2\)[/tex]

C. [tex]\(6y + 4\)[/tex]

D. [tex]\(6y - 4\)[/tex]

Sagot :

GinnyAnswer
Let's simplify the algebraic expression [tex]\( 8y - 2(y + 4) \)[/tex] step by step.

1. Distribute the -2 across the terms inside the parentheses:
[tex]\[ 8y - 2(y + 4) = 8y - 2 \cdot y - 2 \cdot 4 \][/tex]

2. Multiply:
[tex]\[ 8y - 2y - 8 \][/tex]

3. Combine like terms:
[tex]\[ (8y - 2y) - 8 = 6y - 8 \][/tex]

So, the simplified expression is [tex]\( 6y - 8 \)[/tex].

Looking at the provided answer choices:

A. [tex]\( 6y - 8 \)[/tex]

B. [tex]\( 6y + 2 \)[/tex]

C. [tex]\( 6y + 4 \)[/tex]

D. [tex]\( 6y - 4 \)[/tex]

The correct answer is:

A. [tex]\( 6y - 8 \)[/tex]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.