因式分解16m^4-625n^4

分类: 作业答案 • 2022-01-21 20:42:35

问题描述：

因式分解16m^4-625n^4

答

16m^4-625n^4
=(2m)^4-(5n)^4
=[(2m)^2+(5n)^2][(2m)^2-(5n)^2]
=[4m^2+25n^2](2m+5n)(2m-5n)