Question

Simplify: 2x-3y-[3x-2y-{x-z-(x-2y)}]

Answer 1

Step-by-step explanation:

2−3−[3−2−1(−−(−2))]

2x-3y-[3x-2y-1(x-z-\left(x-2y\right))]2x−3y−[3x−2y−1(x−z−(x−2y))]

2−3−[3−2−1(−−+2)]

2x-3y-[3x-2y-1(x-z-x+2y)]2x−3y−[3x−2y−1(x−z−x+2y)]

2

Combine like terms

2−3−[3−2−1(−−+2)]

2x-3y-[3x-2y-1({\color{#c92786}{x}}-z{\color{#c92786}{-x}}+2y)]2x−3y−[3x−2y−1(x−z−x+2y)]

2−3−[3−2−1(−+2)]

2x-3y-[3x-2y-1({\color{#c92786}{-z}}+2y)]2x−3y−[3x−2y−1(−z+2y)]

3

Rearrange terms

2−3−[3−2−1(−+2)]

2x-3y-[3x-2y-1({\color{#c92786}

{-z+2y}})]2x−3y−[3x−2y−1(−z+2y)]

2−3−[3−2−1(2−)]

2x-3y-[3x-2y-1({\color{#c92786}

{2y-z}})]2x−3y−[3x−2y−1(2y−z)]

Solution

−+−

Answer 2

Answer:

-x + y - z

Step-by-step explanation:

2x-3y-[3x-2y-{x-z-(x-2y)}]

2x-3y-[3x-2y-{x-z-x+2y}]

2x-3y-[3x-2y-{-z+2y}]

2x-3y-[3x-2y+z-2y]

2x-3y-[3x-4y+z]

2x-3y-3x+4y-z

-x-3y+4y-z

-x+y-z