(a) \( (a-b) x+a-b \)

Did you know that factors can reveal surprising depths in algebra? The expression \( (a-b) x + a - b \) can be interpreted in various ways, like serving different courses in a delightful algebraic meal. If we factor out \( (a - b) \), for instance, we might see it as \( (a-b)(x + 1) \) when we reorganize things. It’s all about perspective! Now let’s take this expression into the real world! Imagine you’re budgeting for a project with varying costs \( a \) and \( b \). The expression can represent how much your total budget \( (a-b) x + a - b \) fluctuates based on the number of items \( x \) you expect to create. Understanding costs like this can make you a pro at managing projects!