高考问答电视剧绝爱华胥引全集:因式分解
来源：百度文库 编辑：高考问答 时间：2024/04/28 05:51:02
m^4-4m^3+4m^2-9
36m^2n^2-(9m^2+n^2)^2
36m^2n^2-(9m^2+n^2)^2
第一题
很显然当m=3时m^4-4m^3+4m^2-9 =0
所以用m^4-4m^3+4m^2-9除以m-3得m^3-m^2+m+1
所以该式分解为（m-3）（m^3-m^2+m+1）
第二题
36m^2n^2-(9m^2+n^2)^2
=36m^2n^2-81m^4-18m^2n^2-n^4
=-81m^4+18m^2n^2-n^4
=-(81m^4-18m^2n^2+n^4)
=-(9m^2-n^2)^2
(2) 36m^2n^2-(9m^2+n^2)^2=(6mn+9m^2+n^2)(6mn-9m^2-n^2)
=-(3m+n)^2(3m-n)^2