Factor

a)6y+18y2
b)3m - 9m2 + 15m3
c)12k2 - 48k4 - 18k6

To factor these expressions, we need to find common factors of each individual term and then group them together. Let's break down each expression one by one:

a) 6y + 18y^2
The common factor here is 6y, so we can write:
6y(1 + 3y)

b) 3m - 9m^2 + 15m^3
The common factor here is 3m, so we can write:
3m(1 - 3m + 5m^2)

c) 12k^2 - 48k^4 - 18k^6
First, we can factor out a 6k^2 from each term:
6k^2(2 - 8k^2 - 3k^4)
Then, from the second part inside the parentheses, we can factor out a common factor of -k^2:
6k^2(2 - k^2(8 + 3k^2))
So the fully factored expression becomes:
6k^2(2 - k^2)(8 + 3k^2)

Remember that factoring is all about finding common factors and rearranging the terms accordingly. Practice will help you improve your factoring skills!