Use the properties of operations to add 4(g−2)+(g+2) .(1 point)

Question

Responses

5g
5 g

5g−6
5 g minus 6

5g+10
5 g plus 10

5g−10

Answer 1

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

1. Distribute $4$ in $4(g-2)$: $$4(g-2)=4g-8$$

2. Now, rewrite the expression: $$4g-8+(g+2)$$

3. Simplify $g+2$ by adding it to $4g-8$: $$4g-8+g+2=4g+g-8+2$$

4. Combine like terms: $$(4g+g)+(-8+2)=5g-6$$

Thus, the result is: $$\boxed{{\displaystyle 5g-6}}$$