Q. What is the greatest common factor of 30b2,80b2, and 20b3 ?
List Coefficients and Powers: Step Title: List the Coefficients and Powers of b Concise Step Description: Identify the numerical coefficients and the powers of b in each term. Step Calculation: Coefficients are 30, 80, and 20. Powers of b are b2, b2, and b3.
Find GCF of Coefficients: Step Title: Find the GCF of the CoefficientsConcise Step Description: Calculate the greatest common factor of the numerical coefficients.Step Calculation: GCF of 30, 80, and 20 is 10.
Determine Lowest Power: Step Title: Determine the Lowest Power of b Concise Step Description: Identify the lowest power of b common to all terms. Step Calculation: The lowest power of b common in all terms is b2.
Combine GCF and Power: Step Title: Combine the GCF of Coefficients and Lowest Power of bConcise Step Description: Multiply the GCF of the coefficients by the lowest power of b to find the overall GCF.Step Calculation: The greatest common factor is 10b2.