x^2+8x+13/x^2+8x+15-x^2+5x+4/x^2+5x+6

分类: 作业答案 • 2021-12-31 10:43:29

问题描述：

x^2+8x+13/x^2+8x+15-x^2+5x+4/x^2+5x+6
2/x^2+4x+3+2/x^2+8x+15+2/x^2+12x+35

答

原式=(x²+8x+13)/(x+3)(x+5)-(x²+5x+4)/(x+2)(x+3)=(x³+10x²+29x+26-x³-10x²--29x-20)/(x+2)(x+3)(x+5)=6*(x³+10x²+31x+30)