Simplify the following expression:
[tex]\[4x - 5y + 2z + y - 2x + z\][/tex]

A. [tex]\[2x - 4y + z\][/tex]

B. [tex]\[2x - 4y + 2z\][/tex]

C. [tex]\[2x - 4y + 3z\][/tex]

D. [tex]\[2x - 6y + 3z\][/tex]



Answer :

Let's simplify the given expression step-by-step:

Given expression:
[tex]\[ 4x - 5y + 2z + y - 2x + z \][/tex]

Step 1: Combine the like terms for \(x\):

- We have \(4x\) and \(-2x\).
- Combining these terms:
[tex]\[ 4x - 2x = 2x \][/tex]

Step 2: Combine the like terms for \(y\):

- We have \(-5y\) and \(+y\).
- Combining these terms:
[tex]\[ -5y + y = -4y \][/tex]

Step 3: Combine the like terms for \(z\):

- We have \(2z\) and \(+z\).
- Combining these terms:
[tex]\[ 2z + z = 3z \][/tex]

Therefore, after combining all the like terms, the simplified expression is:
[tex]\[ 2x - 4y + 3z \][/tex]

So, the correct answer is:
[tex]\[ 2x - 4y + 3z \][/tex]

Thus, among the given options, the correct one is:
[tex]\[ \boxed{2x - 4y + 3z} \][/tex]