190,516 views
24 votes
24 votes
Which expression is equivalent to (4f-3+2g)-(-4g+2)?

User Ashique
by
2.6k points

1 Answer

23 votes
23 votes

4 f - 3 + 2 g - (- 4g + 2) is to be reduced

notice that the negative sign in front of the parenthesis implies a change of sign in all terms inside the parenthesis. Therefore, as we remove this paranthesis to be able to combine terms, we change the signs as shown below:

4 f - 3 + 2 g + 4 g - 2

now we combine like terms:

4 f - 5 + 6 g

where we combined -3 with -2, and also 2 g with 4 g

The result is 4 f - 5 + 6 g

please see if it appears among your answer options. The terms may be in another order, since the order of the terms doesn't change the resulting expression.

User Quinn Wilson
by
3.0k points