c) \( a(2-b)-b(a-3) \)
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The Deep Dive
This expression can be simplified by distributing the terms. If you expand it out, you get \( 2a - ab - ab + 3b \), which simplifies to \( 2a - 2ab + 3b \). This shows how algebraic manipulation makes it easier to analyze the relationship between \( a \) and \( b \) in equations. In real-world applications, this type of expression can represent various scenarios like calculating the profit based on different cost elements, where \( a \) could represent an initial amount, and \( b \) could represent deductions or taxes. Understanding how to manipulate such expressions can help in budgeting and financial planning!