Grant Marsh
04/18/2024 · Senior High School
Factor out the greatest common factor. If the greatest common factor is 1 , just retype the polynomial. \( 21 a^{5} b^{9}+33 a^{4} b^{5}+15 a^{3} b^{9} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Factor the expression \( 21 a^{5} b^{9}+33 a^{4} b^{5}+15 a^{3} b^{9} \).
Factor the expression by following steps:
- step0: Factor:
\(21a^{5}b^{9}+33a^{4}b^{5}+15a^{3}b^{9}\)
- step1: Factor the expression:
\(3\left(7a^{5}b^{9}+11a^{4}b^{5}+5a^{3}b^{9}\right)\)
- step2: Factor the expression:
\(3a^{3}b^{5}\left(7a^{2}b^{4}+11a+5b^{4}\right)\)
The greatest common factor of the given polynomial \(21 a^{5} b^{9}+33 a^{4} b^{5}+15 a^{3} b^{9}\) is \(3a^{3}b^{5}\). Factoring out this greatest common factor, we get \(3a^{3}b^{5}(7a^{2}b^{4}+11a+5b^{4})\).
Quick Answer
\(3a^{3}b^{5}(7a^{2}b^{4}+11a+5b^{4})\)
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit