Question
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 .
Option C is the equivalent expression to
Answer: C
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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.