[(x+2)/(x+3)-(x+1)/(x+2)+(x+4)/(x+5)-(x+3)/(x+4)]/[(x的平方+7x+

来源：学生作业帮编辑：灵鹊做题网作业帮分类：数学作业时间：2024/06/03 23:22:16

[(x+2)/(x+3)-(x+1)/(x+2)+(x+4)/(x+5)-(x+3)/(x+4)]/[(x的平方+7x+13)/(x的平方+8x+15)]

(x+2)/(x+3)-(x+1)/(x+2)+(x+4)/(x+5)-(x+3)/(x+4)
=[1-1/(x+3)]-[1-1/(x+2)]+[1-1/(x+5)]-[1-1/(x+4)]
=1/(x+2)-1/(x+3)+1/(x+4)-1/(x+5)
=(x+3-x-2)/(x+2)(x+3)+(x+5-x-4)/(x+4)(x+5)
=1/(x^2+5x+6)+1/(x^2+9x+20)
=(2x^2+14x+26)/(x+2)(x+3)(x+4)(x+5)
=2(x^2+7x+13)/(x+2)(x+3)(x+4)(x+5)
x^2+8x+15=(x+3)(x+5)
所以原式=[2(x^2+7x+13)/(x+2)(x+3)(x+4)(x+5)]*[(x+3)(x+5)/(x^2+7x+13)]
=2/(x+2)(x+4)
=2/(x^2+6x+8)

约分 (X的平方+4x+3)(2x-x)^/(X^+X)(X^+X-6), [(x+2)/(x+3)-(x+1)/(x+2)+(x+4)/(x+5)-(x+3)/(x+4)]/[(x的平方+7x+ |X-1|+|X-2|+|X-3|+|X-4|+|X-5|+|X-6|+|X-7|+|X-8|+|X-9|+|X-10| x(x的平方-2x+1)-3x(x的平方-4x+1) x+2/x+1-x+3/x+2-x+4/x+3+x+5/x+4 x^5+x^4 = (x^3-x)(x^2+x+1)+x^2+x 已知1+x+x^2+x^3=0,求x+x^2+x^3+x^4+x^5+x^6+x^7+x^8的值 y=(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)(x-8)(x-9)(x-10)的导数在x=1 (x+1)(x+2)=x的平方+3x+2 (x+2)(x+3)=x的平方+5x+6 (x+3)(x+4)=x的平方+7x x+2x+3x+4x+5x+6x+7x+8x+9x=9x-8x-7x-6x-5x-4x-3x-2x-x.x等于多少? 看化简再求值,[x^2-4]/[x^2+x+1]的平方/[x^3-2x^2]/[x^3+x^2+x]的平方*[x/x+2 x的平方-2x+1=15 ; x(2x-5)=4x-10 ; x的平方+5x+7=3x=11