Question
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Which of the following expressions is equivalent to ?

Ask by Mcfarlane Peters. in the United States
Jan 17,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The equivalent expression is , which simplifies to .

Solution

Let’s evaluate each option to determine which one is equivalent to :
A.
  • This expression represents twelve times , which is different from .
B.
  • Distribute the negative sign: .
  • This simplifies to , which is not the same as .
C.
  • Calculate : .
  • Substitute back into the expression: .
  • This matches the original expression .
D.
  • Combine like terms: .
  • This is different from .
Conclusion:
Option C is the equivalent expression to .
Answer: C

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Extra Insights

To find an expression equivalent to , let’s evaluate each option:
  • Option A: is not equivalent, as it represents a different linear expression.
  • Option B: . This does not equal .
  • Option C: , since equals . This one works!
  • Option D: , which doesn’t match.
So, the correct answer is Option C: or .
You might think of algebra as a scrappy puzzle where you rearrange pieces until they fit perfectly! Remember, even a small sign change can alter the shape of your expression, so always double-check your moves.

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