SOLUTION: will some one explain this step by step for me please? (m^2-5mn+3n^2)(m^2+4mn-2n^2)

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Question 74485: will some one explain this step by step for me please?
(m^2-5mn+3n^2)(m^2+4mn-2n^2)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
%28m%5E2+-+5mn+%2B+3n%5E2%29%28m%5E2+%2B+4mn+-+2n%5E2%29
This is in the form (a - b + c)(d + e - f) which
equals ad + ae - af - bd - be + bf + cd + ce - cf

combine terms
m%5E4+-+m%5E3n+-+19m%5E2n%5E2+%2B+22mn%5E3+-+6n%5E4 answer