SOLUTION: Solve. (m squared-5mn+3n squared)(m squared+4mn-2n squared)

Question 112695: Solve.
(m squared-5mn+3n squared)(m squared+4mn-2n squared)
Answer by SHUgrad05(58) (Show Source): You can put this solution on YOUR website!
(m^2-5mn+3n^2)(m^2+4mn-2n^2)
First multiply m^2 by the polynomial on the right:
m^4+4m^3n-2m^2n^2
Next multiply -5mn by the ploynomial on the right:
-5m^3n-20m^2n^2+10mn^3
Next multiply 3n^3 by the polynomial on the right:
3m^2n^2+12mn^3-6n^4
Now simplify:
m^4+4m^3n-2m^2n^2
-5m^3n-20m^2n^2+10mn^3
+3m^2n^2+12mn^3-6n^4
= m^4-m^3n-15m^2n^2+22mn^3-64n^4

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