(x^2-2x-3)/(x^2+2x+1) (x^2+x-2)/(x+2)约分

分类: 作业答案 • 2022-08-09 11:11:14

问题描述：

答

x^2-2x-3=(x-3)(x+1)
x^2+2x+1=(x+1)^2
所以(x^2-2x-3)/(x^2+2x+1)=(x-3)/(x+1)
x^2+x-2=(x+2)(x-1)
所以(x^2+x-2)/(x+2)=x-1

答

(x^2-2x-3)/(x^2+2x+1)
=(x-3)(x+1)/(x+1)²
=(x-3)/(x+1);
(x^2+x-2)/(x+2)
=(x+2)(x-1)/(x+2)
=x-1;
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