Use properties of operation to add

Question

4(g-2)+(g+2)

Answer 1

To simplify the expression \( 4(g - 2) + (g + 2) \), we will use the distributive property and then combine like terms.

1. Distribute \( 4 \) in the first term: \[ 4(g - 2) = 4g - 8 \]

2. Rewrite the expression with the distributed term: \[ 4(g - 2) + (g + 2) = (4g - 8) + (g + 2) \]

3. Combine like terms:

   • Combine \( 4g \) and \( g \): \[ 4g + g = 5g \]
   • Combine the constants \( -8 \) and \( 2 \): \[ -8 + 2 = -6 \]

4. Write the final expression: \[ 5g - 6 \]

So, the simplified form of \( 4(g - 2) + (g + 2) \) is \( 5g - 6 \).