18b²c - 12ab³ + 30ab
We're simply just trying to factor this out.
So : What goes into ALL of these numbers?
6 does! :)
So, divide everything by 6.
6(3b²c - 2ab³ + 5ab)
Now, what else goes into these numbers/variables? :)
b does! So, simply factor out b.
6b(3bc - 2ab² + 5a)
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To check if this is correct, simplify this & see if it is the same as our original equation.
(6b · 3bc) + (6b · -2ab²) + (6b · 5a)
Simplify.
(18b²c) + (-12ab³) + (30a)
Get rid of the parenthesis.
18b²c - 12ab³ + 30a = 10b²c - 12ab³ + 30ab (Our original equation)
Therefore, 6b(3bc - 2ab² + 5a) is our correct answer.
~Hope I helped!~