7.4k views
3 votes
Which is equivalent to the expression? 4(x + 5) + 4x + 8 A) 4(2x + 7) B) 5x + 17 C) 8(x + 4) D) 8x + 13

User Mglmnc
by
7.8k points

2 Answers

2 votes

Answer:

The correct option is A) 4(2x + 7).

Explanation:

Consider the provided expression.

4(x + 5) + 4x + 8

Apply the distributive property:
a(b+c)=ab+ac

4(x + 5) + 4x + 8 = 4x + 20 + 4x + 8

Now add the like terms.

8x + 28

The above expression can be written as:

4 × 2x + 4 × 7

4(2x + 7)

Hence, the correct option is A) 4(2x + 7).

User Rharishan
by
7.8k points
0 votes

Answer:

A) 4(2x + 7) is your answer.

Explanation:

Distribute 4 to all terms within the first parenthesis.

4(x + 5) = 4x + 20

4x + 20 + 4x + 8

Simplify. Combine like terms.

4x + 4x + 20 + 8

8x + 28

A) 4(2x + 7) is your answer.

Simplify. Distribute 4 to all terms within the parenthesis

4(2x) = 8x

4(7) = 28

8x + 28 = 8x + 28 ∴ 4(x + 5) + 4x + 8 = 4(2x + 7)

~

User Andrei Astrouski
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories