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

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

Answer :

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.

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