x^2n+x^n-1/9y^2+1/4因式分解?我想了半天了

分类: 作业答案 • 2022-04-06 21:11:06

问题描述：

答

x^2n+x^n-1/9y^2+1/4
=(x^n)^2+(x^n)+1/4-(1/9)y^2
=[(x^n)^2+(x^n)+1/4]-(1/9)y^2
=[x^n+1/2]^2-[(1/3)y]^2
=[x^n+1/2+(1/3)y]*[x^n+1/2-(1/3)y]