16(m-n)^2-9(m+n)^2=(4m-4n)^2-(3m+3n)^2=[(4m-4n)+(3m+3n)][(4m-4n)-(3m+3n)]=(7m-n)(n-7n)
解:16﹙m-n﹚²-9﹙m+n﹚² =﹙4m-4n﹚²-﹙3m+3n﹚² =﹙4m-4n-3m-3n﹚﹙4m-4n+3m+3n﹚ =﹙m-7n﹚﹙7m-n﹚。
﹙m-7n﹚﹙7m-n﹚