Question

1)(a+b-c)+2 2)a+(b-c) 3)a-(a-b+c) 4)(x+y)-(x-y) 5)(a-b+1)-(a+b-1)

Answer 1

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Answer 2

Let's simplify each expression step by step:

1. (a+b-c) + 2

Combine the terms inside the parentheses first: a + b - c + 2

2. a + (b-c)

There is no further simplification possible for this expression.

3. a - (a-b+c)

Distribute the negative sign inside the parentheses: a - a + b - c

Simplify: b - c

4. (x+y) - (x-y)

Distribute the negative sign inside the parentheses: x + y - x + y

Combine like terms: x - x + y + y

Simplify: 2y

5. (a-b+1) - (a+b-1)

Distribute the negative sign inside the parentheses: a - b + 1 - a - b + 1

Combine like terms: (a - a) + (-b - b) + 1 + 1

Simplify: -2b + 2

So the simplified expressions are:

1. a + b - c + 2
2. a + (b - c)
3. b - c
4. 2y
5. -2b + 2