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

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

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

(2m+3n)(2m-3n)-(3m-2n)(3m+2n)
(2m+3n)(2m-3n)-(3m-2n)(3m+2n)
=(4m²-9n²)-(9m²-4n²)
=4m²-9n²-9m²+4n²
=-5m²-5n²

由平方差公式{(a+b)(a-b)=a^2-b^2 }易知,
原式=4m^2-9n^2-(9m^2-4n^2)
=-5m^2-5n^2