Question

(a - 2b) + (-2a + 3b + 1)

Explanation:

Step1: Remove parentheses

Using the rule of removing parentheses (when there's a plus sign in front, the signs inside remain), we get: \(a - 2b - 2a + 3b + 1\)

Step2: Combine like terms

Combine the \(a\)-terms: \(a - 2a = -a\)
Combine the \(b\)-terms: \(-2b + 3b = b\)
So the expression simplifies to: \(-a + b + 1\) or \(b - a + 1\)

Answer:

\(-a + b + 1\) (or \(b - a + 1\))