To simplify the expression \((4a - 2b) - (a + 5b)\), follow these steps:

1. Distribute the negative sign across the second set of parentheses:
   \[
   (4a - 2b) - a - 5b
   \]

2. Combine like terms:
   - For the \(a\) terms: \(4a - a = 3a\)
   - For the \(b\) terms: \(-2b - 5b = -7b\)

3. The simplified expression is:
   \[
   3a - 7b
   \]

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. How would you simplify \((5x - 3y) - (2x + 4y)\)?
2. What is the result of \((7p + 2q) - (3p - 5q)\)?
3. Can you factor the expression \(3a - 7b\) further?
4. What is the simplified form of \((2m - 4n) - (m + n)\)?
5. How does changing the signs within the parentheses affect the final expression?

**Tip:** Always distribute the minus sign when subtracting expressions enclosed in parentheses to avoid sign errors.

Learn how to simplify the algebraic expression (4a-2b)-(a+5b) by distributing the negative sign and combining like terms. This problem is suitable for students in Grades 7-8 and covers essential concepts in algebra, such as the distributive property and simplification.

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