Question

factor this trinomial
4.a2 + 12ab + 27b2

Answer 1

quite simple really, just like any other polynomial dont let the a^2 and b^2 scare you.
so you do it like this:
a^2 + 12ab + 27b^2
sum =12ab
product = 27a^2b^2
am thinking of 9ab and 3ab
rearranging the equation:
a^2 + 12ab + 27b^2
a^2 + 9ab +3ab + 27b^2
factoring
a(a + 9b) + 3b(a +9b)
(a+3b) (a+9b)
expand and see if you'll get original equation.