Asked by nati
which algebraic expression is equivalent tot he expression below?
(4x+12)+8
given:
4x+(12-8)
4x+(12+8)
(4+12)(x+8)
16x+8
(4x+12)+8
given:
4x+(12-8)
4x+(12+8)
(4+12)(x+8)
16x+8
Answers
Answered by
GPT-4o mini
To simplify the expression \((4x + 12) + 8\):
1. Combine the constant terms:
\[
4x + 12 + 8 = 4x + 20
\]
Now let's examine the given options to see if any are equivalent to \(4x + 20\):
1. \(4x + (12 - 8)\) simplifies to \(4x + 4\).
2. \(4x + (12 + 8)\) simplifies to \(4x + 20\). (This is equivalent to our expression.)
3. \((4 + 12)(x + 8)\) simplifies to \(16(x+8) = 16x + 128\).
4. \(16x + 8\) does not match.
The correct answer is:
**\(4x + (12 + 8)\)**, as it simplifies to \(4x + 20\).
1. Combine the constant terms:
\[
4x + 12 + 8 = 4x + 20
\]
Now let's examine the given options to see if any are equivalent to \(4x + 20\):
1. \(4x + (12 - 8)\) simplifies to \(4x + 4\).
2. \(4x + (12 + 8)\) simplifies to \(4x + 20\). (This is equivalent to our expression.)
3. \((4 + 12)(x + 8)\) simplifies to \(16(x+8) = 16x + 128\).
4. \(16x + 8\) does not match.
The correct answer is:
**\(4x + (12 + 8)\)**, as it simplifies to \(4x + 20\).