Are the expressions 3+(4x+1)

Question

and 4−4x
equivalent?(1 point)
Responses

Yes, they are because both expressions simplify to 4−4x
.
Yes, they are because both expressions simplify to 4 minus 4 x .

No, they are not because 3+(4x+1)
simplifies to 4+4x
, which is not equivalent to 4−4x
.
No, they are not because 3 plus left parenthesis 4 x plus 1 right parenthesis simplifies to 4 plus 4 x , which is not equivalent to 4 minus 4 x .

No, they are not because 3+(4x+1)
simplifies to x+1
, which is not equivalent to 4−4x
.
No, they are not because 3 plus left parenthesis 4 x plus 1 right parenthesis simplifies to x plus 1 , which is not equivalent to 4 minus 4 x .

Yes, they are because both expressions simplify to 0.

Answer 1

To determine whether the expressions $3+(4x+1)$ and $4-4x$ are equivalent, let's simplify the first expression:

1. Simplify $3+(4x+1)$: $$3+4x+1=4+4x$$

Now, we have:

• $3+(4x+1)=4+4x$
• The second expression is $4-4x$.

Now we need to compare $4+4x$ and $4-4x$:

• $4+4x$ is not the same as $4-4x$.

Therefore, the correct answer is: No, they are not because $3+(4x+1)$ simplifies to $4+4x$, which is not equivalent to $4-4x$.