Question
Use the distributive property to remove the parentheses. \[ 5 b^{9}\left(2 b^{6}+9 b\right) \]
Ask by Reed Lynch. in the United States
Mar 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Multiply \(5b^9\) by each term inside the parentheses:
- \(5b^9 \times 2b^6 = 10b^{15}\)
- \(5b^9 \times 9b = 45b^{10}\)
So, the expression becomes:
\[
10b^{15} + 45b^{10}
\]
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Mind Expander
To apply the distributive property, you multiply \(5 b^{9}\) by each term inside the parentheses. So, let's break it down: 1. Multiply \(5 b^{9}\) by \(2 b^{6}\): \[ 5 b^{9} \cdot 2 b^{6} = 10 b^{15} \] 2. Now, multiply \(5 b^{9}\) by \(9 b\): \[ 5 b^{9} \cdot 9 b = 45 b^{10} \] Putting it all together, the expression without parentheses is: \[ 10 b^{15} + 45 b^{10} \]
