SOLUTION: Question from textbook, Introductory Algebra Simplify, Show all work x-1/x^2+1 * x^4-1/(x-1)^2 * x^2-1/x^4-2x^2+1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Question from textbook, Introductory Algebra Simplify, Show all work x-1/x^2+1 * x^4-1/(x-1)^2 * x^2-1/x^4-2x^2+1      Log On


   

Question 271935: Question from textbook, Introductory Algebra
Simplify, Show all work
x-1/x^2+1 * x^4-1/(x-1)^2 * x^2-1/x^4-2x^2+1
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x-1/x^2+1 * x^4-1/(x-1)^2 * x^2-1/x^4-2x^2+1
= (x-1)/ (x^2+1)* (x^2-1)(x^2+1) / (x-1)^2 * (x+1)(x-1) / (x^2-1)^2
= (x-1)(x-1)^2(x-1) (x+1)(x^2+1)(x+1) / (x^2+1)(x-1)^2*(x^2-1)^2
CAneling all the similar terms in the numerator and denominator the answer we get is 1/(x-1)