Question

(a-b-c)-(a-d)+d-(b-c) раскрыть скобки

Answer 1

А- b-c-a+d+d-b+c= -2b+2d

Answer 2

A-b-c-a+d+d-b+c=2d-2b

Answer 3

Problem Statement

You are given the expression `(a - b - c) - (a - d) + d - (b - c)`. You need to simplify and expand this expression by removing the parentheses.

Solution

To simplify and expand the given expression, let's break it down step by step:

1. Start with the original expression: `(a - b - c) - (a - d) + d - (b - c)`. 2. Remove the parentheses by applying the distributive property and combining like terms. 3. Simplify the expression further if possible.

Let's go through each step in detail:

Step 1: Original Expression The original expression is `(a - b - c) - (a - d) + d - (b - c)`.

Step 2: Remove Parentheses To remove the parentheses, we need to distribute the signs inside the parentheses to each term.

- Distribute the negative sign in `(a - b - c)` to each term inside: `-a + b + c`. - Distribute the negative sign in `(a - d)` to each term inside: `-a + d`. - Distribute the positive sign in `d` to each term inside: `d`. - Distribute the negative sign in `(b - c)` to each term inside: `-b + c`.

After removing the parentheses, the expression becomes `-a + b + c - (-a + d) + d - (-b + c)`.

Step 3: Simplify the Expression Now, let's simplify the expression by combining like terms:

- Combine `-a` and `+a` to get `0`. - Combine `b` and `-b` to get `0`. - Combine `c` and `c` to get `2c`. - Combine `d` and `d` to get `2d`.

After simplifying, the final expression is `0 + 0 + 2c + 2d`, which can be further simplified to `2c + 2d`.

Therefore, the simplified and expanded expression is `2c + 2d`.

Please let me know if you need any further clarification or assistance!