Remove the parentheses from the following expression, and combine like terms: (2x + 3y – 4z) – (x – y – z)
A.3x +4y+5z
B. 3x + 4y – 3z
C.x +4y–3z
D. x + 2y – 5z
remove:
2x+3y-4z-x+y+z
combine:
2x-x+3y+y-4z+z
x+4y-3z
(C)
-(4u-4y-3)
-4(-2v+3y-4)
To remove the parentheses and combine like terms, you need to distribute the negative sign to every term inside the second parentheses.
Start by removing the parentheses:
(2x + 3y - 4z) - (x - y - z)
Next, distribute the negative sign:
2x + 3y - 4z - x + y + z
Combine like terms:
(2x - x) + (3y + y) + (-4z + z)
Simplify the expression:
x + 4y - 3z
So, the answer is:
C. x + 4y - 3z