How do you find the gcf of #8a^2b + 4ab - 12ab^2#?

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Answer 1 · 2015-07-01T02:26:40

Find the largest number and highest degree of each variable that can be divided evenly into the expression.

#8a^2b+4ab-12ab^2#

Largest number = #4#
Highest degree of #a# = #a#
Highest degree of #b# = #b#

Multiply the results to get the GCF of #4ab#.

Factor out #4ab#.

#4ab(2a+1-3b)#

Answer 2 · 2015-07-01T02:28:36

gcf (Greatest Common Factor) of #8a^2b+4ab−12ab^2# is #4ab#

Factoring each term independently:
#8a^2b = 2xx2xx2xxaxxaxxb#
#4ab= 2xx2xxaxxb#
#12ab^2 = 2xx2xx3xxaxxbxxb#

Extracting the factors common to all three terms:
#2xx2xxaxxb = 4ab#