SOLUTION: I'm needing some help with the following problem: Factor each completely. Some may require several steps. 3a^4-6a^3+9a^2 thanks!

Algebra ->  Equations -> SOLUTION: I'm needing some help with the following problem: Factor each completely. Some may require several steps. 3a^4-6a^3+9a^2 thanks!      Log On


   

Question 186368: I'm needing some help with the following problem: Factor each completely. Some may require several steps.
3a^4-6a^3+9a^2
thanks!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3a%5E4-6a%5E3%2B9a%5E2 Start with the given expression


3a%5E2%28a%5E2-2a%2B3%29 Factor out the GCF 3a%5E2


It turns out that the inner trinomial can't be factored any further. So this means that 3a%5E4-6a%5E3%2B9a%5E2 factors to 3a%5E2%28a%5E2-2a%2B3%29.