Question

How did my book get this answer?
(attached)

Answer 1

simplify your numerator first...it's

(x^3 -1)/x^2/(x^4 -1)/x^3

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

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


(x-1)(x^2 +x + 1)/(x+1)(x-1)(x^2+1)/x <- i canceled x


(x^2 +x +1)/(x+1)(x^2+1)/x <<<i canceled x-1

so...

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


did you get my explanation? :DDD

Answer 2

Yes,,, u explained it very well,,, thanku !