Question

分式的运算 x+1+x分之1分之x^2-x分之1 x-1分之x^3-x^2-x-1

Answer 1

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

= (x^3-1)/(x^2+x+1) 【分式的分子和分母同乘以x】

= x-1

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

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

= [x^3-(x-1)(x^2+x+1)]/(x-1) 【通分】

= [x^3-(x^3-1)]/(x-1)

= 1/(x-1)