Question

1. (x+y-z)-1; 2. x+(y-x); 3. (x+y)-(x-y); 4. (5x+7y)-(7x-5y); 5. (x-y+z)-(x+y-z

Answer 1

2)=у
3)=2у
4)=12у-2х
5)=2z-2y

Answer 2

Let's simplify each expression step by step:

1. (x + y - z) - 1 = x + y - z - 1

2. x + (y - x) = x + y - x = y

3. (x + y) - (x - y) = x + y - x + y = 2y

4. (5x + 7y) - (7x - 5y) Distribute the negative sign: = 5x + 7y - 7x + 5y Group like terms: = (5x - 7x) + (7y + 5y) = -2x + 12y

5. (x - y + z) - (x + y - z) Distribute the negative sign: = x - y + z - x - y + z Group like terms: = (x - x) + (-y - y) + (z + z) = -2y + 2z

So, the simplified expressions are:

1. x + y - z - 1
2. y
3. 2y
4. -2x + 12y
5. -2y + 2z