SOLUTION: m^(4)-n^(4) Factor the polynomial completely

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Question 292579: m^(4)-n^(4)
Factor the polynomial completely
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use a substitution.
Let P=m%5E2 and R=n%5E2
Then
m%5E4-n%5E4=P%5E2-R%5E2
Now a diffrence of two squares.
P%5E2-R%5E2=%28P%2BR%29%28P-R%29
m%5E4-n%5E4=%28P%2BR%29%28P-R%29
m%5E4-n%5E4=%28m%5E2%2Bn%5E2%29%28m%5E2-n%5E2%29
Another difference of two squares term.
m%5E4-n%5E4=%28m%5E2%2Bn%5E2%29%28m%2Bn%29%28m-n%29