Question

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 1

C. 36x + 108

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.

Answer 2

hello!

Use the Distributive Property, which states the following:-

`\bigstar{\bf{a(b+c)=ab+ac}`

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:-

`\longrightarrow\sf{36x-108}`

note:-

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