Answer:
2 m^5 n^3 - m^4 n^2+4 m n
Step-by-step explanation:
6 m^6 n^4 - 3m^5 n^3 +12 m^2 n^2
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3mn
Separate into 3 terms
6 m^6 n^4 3m^5 n^3 12 m^2 n^2
--------------- - ---------------- + -------------------
3mn 3mn 3mn
Simplify each term
6m^6 n^4/3mn = 6/3 m^(6-1) n^(4-1) = 2 m^5 n^3
3m^5 n^3/3mn = 3/3 m^(5-1) n^(3-1) = 1 m^4 n^2
12m^2 n^2/3mn = 12/3 m^(2-1) n^(2-1) = 4 m^1 n^1
Replacing into the equation
2 m^5 n^3 - 1 m^4 n^2+4 m^1 n^1
2 m^5 n^3 - m^4 n^2+4 m n
