Question

Are the expressions 3+(4x+1)
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 minus left parenthesis 4 x plus 1 right parenthesis simplifies to 2 minus 4 x , which is not equivalent to 4 minus 4 x .

Yes, they are because both expressions simplify to 0.
Yes, they are because both expressions simplify to 0.

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

Answer 1

Let's simplify the expression \(3 + (4x + 1)\):

1. Start with the expression:
\(3 + (4x + 1)\)

2. Simplify inside the parentheses:
\(3 + 4x + 1 = 4 + 4x\)

Now we have \(4 + 4x\).

Next, let's consider the second expression, \(4 - 4x\).

Now we can compare the two results we have:
- The first expression simplifies to \(4 + 4x\).
- The second expression is \(4 - 4x\).

These two expressions are not equivalent because \(4 + 4x\) is not equal to \(4 - 4x\).

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