Use the properties of operation to add 4(g - 2 = ( + ( g + 2 ).

3 answers

To add the expressions 4(g - 2) and (g + 2), we need to distribute the 4 to g and -2 in the first expression:

4(g - 2) = 4g - 8

Now we can add the two expressions:

4g - 8 + (g + 2)

To simplify, we combine like terms:

(4g + g) + (-8 + 2)

This gives us:

5g - 6

Therefore, 4(g - 2) + (g + 2) simplifies to 5g - 6.
Use the properties of operation to subtract (h+k)-(2k-h)
To subtract the expressions (h + k) - (2k - h), we need to distribute the negative sign to the terms inside the second parenthesis:

(h + k) - (2k - h) = h + k - 2k + h

Now, we can combine like terms:

(h + h) + (k - 2k)

Simplifying further:

2h + (k - 2k) = 2h - k

Therefore, (h + k) - (2k - h) simplifies to 2h - k.