Generate algebraic expressions for the following:
The number obtained when m times the difference of x and y is subtracted from n times the sum of x and y.

Answer

To generate the algebraic expression based on the given statement, we can break it down step by step.

### Step-by-Step Solution:

1. **Identify the components of the expression**:
- We need to find the difference of \(x\) and \(y\), which is represented as \(x - y\).
- We also need to find the sum of \(x\) and \(y\), which is represented as \(x + y\).

**Hint**: Remember that the difference is found by subtracting one quantity from another, while the sum is found by adding the two quantities together.

2. **Multiply the difference by \(m\)**:
- The expression for \(m\) times the difference of \(x\) and \(y\) is \(m(x - y)\).

**Hint**: When multiplying a variable expression by a constant, distribute the constant across the expression.

3. **Multiply the sum by \(n\)**:
- The expression for \(n\) times the sum of \(x\) and \(y\) is \(n(x + y)\).

**Hint**: Similar to the previous step, distribute the constant \(n\) across the sum.

4. **Formulate the expression**:
- According to the problem, we need to subtract \(m(x - y)\) from \(n(x + y)\). This can be written as:
\[ n(x + y) - m(x - y) \]

**Hint**: When you see the word "subtracted from," it indicates that the first expression should be the one from which you subtract.

5. **Combine the terms**:
- Now, we can write the final expression:
\[ n(x + y) - m(x - y) \]

**Hint**: Make sure to keep track of the signs when combining terms, especially when dealing with subtraction.

### Final Expression:
The algebraic expression for the given statement is:
\[ n(x + y) - m(x - y) \]

### Summary of Steps:
1. Identify the difference and sum.
2. Multiply the difference by \(m\).
3. Multiply the sum by \(n\).
4. Subtract the first result from the second.
5. Write the final expression.