(x^2+2x)^2-1因式分解

分类: 作业答案 • 2021-12-19 17:20:51

问题描述：

(x^2+2x)^2-1因式分解

答

(x+1)^2(x^2+2x-1)

答

(x^2+2x)^2-1
=(x^2+2x)^2-1^2
=(x^2+2x+1)(x^2+2x-1)
=(x+1)^2(x^2+2x-1)

答

=(x^2+2x-1)*(x^2+2x+1)
=[(x+1)^2-2]*(x+1)^2
=(x+1)^4-2(x+1)^2

答

=X^4+4X^3+4X^2-1

答

你好,惊儚
(x²+2x)²-1
=(x²+2x+1)(x²+2x-1)
=(x+1)²(x²+2x-1)