Incorrect Your answer is incorrect. Use the distributive property to remove the parentheses. \( 5 b^{9}\left(2 b^{6}+9 b\right) \) Simplify your answer as much as possible. \( 10 b^{15}+45^{15} \)
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Let's correct that! When you apply the distributive property to \( 5b^{9}(2b^{6} + 9b) \), you multiply \( 5b^{9} \) by each term inside the parentheses. First, multiplying \( 5b^{9} \) by \( 2b^{6} \) gives you \( 10b^{15} \). Next, multiplying \( 5b^{9} \) by \( 9b \) results in \( 45b^{10} \). So, the correct simplified expression is \( 10b^{15} + 45b^{10} \). Isn't it cool how a simple property can change a whole expression? The distributive property is like a magic wand for algebra—making everything easier and clearer!