which algebraic expression is equivalent tot he expression below?

Question

(4x+12)+8

given:
4x+(12-8)
4x+(12+8)
(4+12)(x+8)
16x+8

Answer 1

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 \(4x + 20\).