woahfrosty
Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Which algebraic expression is equivalent to this expression?
9(3x - 12) + 9x

A.
36x - 12
B.
18x + 108
C.
36x - 108
D.
18x - 108

Sagot :

hello!

Use the Distributive Property, which states the following:-

[tex]\bigstar{\bf{a(b+c)=ab+ac}[/tex]

where

we distribute a by multiplying it times b and c

In this case, we should distribute 9:-

9(3x-12)+9x

27x-108+9x

Combine Like Terms:-

[tex]\longrightarrow\sf{36x-108}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

C. 36x + 108

Step-by-step explanation:

Our expression :

  • 9(3x - 12) + 9x

Expanding :

#1) Open the bracket applying the distributive property.

  • 9(3x - 12) + 9x
  • 9(3x) - 9(12) + 9x
  • 27x - 108 + 9x

#2) Combine like terms.

  • 27x + 9x - 108
  • 36x + 108
  • The option with this answer is C.
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.