Answer:You're absolutely right! Here's how to factor the expression by grouping: 1. Group the terms:(ab + a) - (b - 1)2. Factor out the common factors in each group:a(b + 1) - 1(b + 1)3. Notice the common binomial factor:(b + 1)(a - 1) Therefore, the factored expression is (b + 1)(a - 1).