To add 4(g−2)+(g+2), we distribute the 4 to the terms inside the parentheses and combine like terms:
= 4g - 8 + g + 2
Now, we can combine the like terms:
= 4g + g - 8 + 2
= 5g - 6
Hence, 4(g−2)+(g+2) simplifies to 5g - 6.
= 4g - 8 + g + 2
Now, we can combine the like terms:
= 4g + g - 8 + 2
= 5g - 6
Hence, 4(g−2)+(g+2) simplifies to 5g - 6.
Step 1: Simplify the terms within parentheses:
4 * g - 4 * 2 + g + 2
Step 2: Multiply the coefficients with the variable terms:
4g - 8 + g + 2
Step 3: Combine like terms:
(4g + g) + (-8 + 2)
5g - 6
So, the simplified expression is 5g - 6.
Step 1: Distributive Property
We can use the distributive property to multiply the 4 with both terms inside the first parentheses (g - 2).
4(g - 2) + (g + 2)
= 4 * g - 4 * 2 + (g + 2) (distributive property)
= 4g - 8 + (g + 2)
Step 2: Combine Like Terms
Next, we can simplify the expression by combining like terms. In this step, we add or subtract the coefficients of terms that have the same variable(s).
= (4g + g) + (-8 + 2)
= 5g - 6
Therefore, the simplified expression 4(g - 2) + (g + 2) is equal to 5g - 6.