分解因式:25(m+n)눀-(m-n)눀

2024-12-02 18:24:09
推荐回答(2个)
回答1:

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)

回答2:

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)