(3m+2n)^2+(2m-3n)^2-2(3m+2n)(2m-3n)

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(3m+2n)^2+(2m-3n)^2-2(3m+2n)(2m-3n)
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(3m+2n)^2+(2m-3n)^2-2(3m+2n)(2m-3n)
(3m+2n)^2+(2m-3n)^2-2(3m+2n)(2m-3n)

(3m+2n)^2+(2m-3n)^2-2(3m+2n)(2m-3n)

(3m+2n)^2+(2m-3n)^2-2(3m+2n)(2m-3n)
把 3m+2n=A, 2m-3n=B
A^2+B^2-2AB=(A-B)^2=((3m+2n)-(2m-3n))^2=(m+5n)^2

=[(3m+2n)-(2m-3n)]^2=(m+5n)^2