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AL2006
-- Look at both terms.
Notice that they can both be divided by 3.
Factor out 3 .

3 (3a³ + 5a²)

-- Look at the terms inside the parentheses. 
Notice that they can both be divided by a² .
Factor the a² out, to the outside of the parentheses.

3 a² (3a + 5)

No factor left that's common to both terms
inside the parentheses.
So it's now completely factored.