1. \( (x+9)(5) \) \( -4 x\left(x^{2}+8\right) \) 3. \( 2 a^{2}\left(5 b^{2}+3 a b+6 a+1\right) \)

Did you know that the distributive property, often indicated with parentheses as in the expression \( (x+9)(5) \), is like a mathematical magic wand? You can pull out a term from the parenthesis and multiply it across everything inside! This method helps simplify expressions and solve equations easily by providing clear structure to your calculations. When dealing with polynomial expressions like \( -4x(x^{2}+8) \), always remember to distribute the coefficient or term outside the parenthesis to each term inside. A common mistake is forgetting to multiply across completely, which can lead to incorrect terms. Keep a keen eye on your distribution pattern and carefully check every term to avoid this pitfall!