Question
Factor out the greatest common factor. If the greatest common factor is 1 , just retype the polynomial. \( 8 c^{3}+6 c^{2} \)
Ask by Coles Stephens. in the United States
Feb 02,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(2c^{2}(4c + 3)\)
Solution
The greatest common factor (GCF) of \(8c^{3}\) and \(6c^{2}\) is \(2c^{2}\).
Factoring out \(2c^{2}\) from each term:
\[
8c^{3} + 6c^{2} = 2c^{2}(4c + 3)
\]
**Answer:**
\[
2c^{2}(4c + 3)
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
The greatest common factor (GCF) of the terms \(8c^3\) and \(6c^2\) is \(2c^2\). When we factor out this GCF, we get: \(2c^2(4c + 3)\). So, the expression \(8c^{3}+6c^{2}\) simplifies beautifully to \(2c^2(4c + 3)\). Just remember, factoring out the GCF not only helps simplify expressions but also gets you closer to solving equations and working on further algebraic manipulations! Plus, identifying the GCF can be a bit like a scavenger hunt, where you uncover the "hidden gems" in your polynomial!
