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

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Answer 1 · 2018-06-21T22:24:45

GCF is $6ab^2$

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 $6ab^2$

What is the GCF of 18a^2b^2 − 6ab^2 + 12ab^318a^2b^2 − 6ab^2 + 12ab^3?