SOLUTION: write as trinomial. Please show solution. (-6rs+s^2)^2

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Question 759258: write as trinomial. Please show solution.
(-6rs+s^2)^2
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
(-6rs+s^2)^2
(-6rs+s^2)(-6rs+s^2)
apply FOIL:
(-6rs)(-6rs) + (-6rs)(s^2) + (s^2)(-6rs) + (s^2)(s^2)
(36r^2s^2) + (-6rs^3) + (-6rs^3) + (s^4)
36r^2s^2 - 6rs^3 - 6rs^3 + s^4
combine middle terms:
36r^2s^2 - 12rs^3 + s^4