stuck again (sigh) 3x4y+6x3y-72x2y

Question

anonymous · Answer

$$3x ^{4}y+6x ^{3}y-72x ^{2}y$$

zepdrix · Answer

What are you asked to do with this? :) Factor?

anonymous · Answer

yes i have never had any pre algebra at all before

anonymous · Answer

i think i got it

anonymous · Answer

Yep. 

Notice that you can easily factor out a 3 x^2 y out of this to get: $$ \Large {3x^2 y (x^2 + 2x - 24)}. $$Also, notice (this takes some binomial factoring expereince) that $$ \Large {x^2 + 2x - 24 = (x-4)(x+6)}. $$You can check this by FOILNG (x - 4)(x + 6). So, the final answer is: $$ \Large {\boxed {3x^2 y (x - 4)(x + 6)}}. $$Do you see how this works?

anonymous · Answer

yes i do thats exactly what i got  :) thank you

anonymous · Answer

No problem! I'd have liked a medal, but that's not why I'm here, so ... glad I could help. :D

anonymous · Answer

how do you get a medal do i click on best response?  sorry new on here

anonymous · Answer

Yep. Thanks for the medal! I'm also fairly new here. :D

anonymous · Answer

your welcome. :D