答:25(m+n)²-(m-n)²=(5m+5n)²-(m-n)²=(5m+5n+m-n)(5m+5n-m+n)=(6m+4n)(4m+6n)=4(3m+2n)(2m+3n)
25(m+n)²-(m-n)²=[5(m+n)+m-n][5(m+n)-(m-n)]=(6m+4n)(4m+2n)=4(3m+2n)(2m+n)