Consider the following equation:39×41=402-12,48×52=502-22,56×64=602-42,65×75=702-52,83×97=902-72... Please write the pattern of discovery in letters: m•n=______.

Consider the following equation:39×41=402-12,48×52=502-22,56×64=602-42,65×75=702-52,83×97=902-72... Please write the pattern of discovery in letters: m•n=______.

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39*41=4039*41=40 Square-1,48*52=50 square-2 square,56*64=60 square-4 square, in alphabetical order

39*41=(40-1)(40+1) =40^2-1^2...
A* a+2=[(a+1)-1)][(a+1)+1]=(a+1)^2-1