What is the GCF of #18a^2b^2 − 6ab^2 + 12ab^3#?

1 Answer
Jun 21, 2018

Answer:

GCF is #6ab^2#

Explanation:

Given: #18a^2b^2 - 6ab^2 + 12 ab^3#

The GCF is the greatest common factor. TO find it you can decompose each monomial:

#18a^2b^2: " "color(red)(2) * color(red)(3) * 3 * color(red)(a) * a * color(red)(b) * color(red)(b)#

#-6ab^2: " "-1 * color(red)(2) * color(red)(3) * color(red)(a) * color(red)(b) *color(red)(b)#

#12ab^3: " "color(red)(2) * 2 * color(red)(3) * color(red)(a) * color(red)(b) * color(red)(b) * b#

The GCF is #6ab^2#