(c) \( 2 a(3 b+6) \)

Did you know that factoring can help simplify expressions like \( 2a(3b + 6) \)? By factoring out the common factors, you streamline your calculations. Here, you can factor out \( 3 \) from the parentheses, leading to \( 2a \cdot 3(b + 2) \), which can make certain algebraic problems much easier to solve! When working with expressions, a common mistake is forgetting to distribute correctly. For example, if you incorrectly expand \( 2a(3b + 6) \), you might write \( 2a \cdot 3b + 6 \) without considering the multiplier of \( 2a \) for both terms. Always remember to apply the distributive property on both terms for the correct result!