Can you help me to simplify this algebraic expression? How can I simplify this algebraic expression? − 2 x 2 − 1 + x x + 1 − 1 x − 1

Question

Can you help me to simplify this algebraic expression? How can I simplify this algebraic expression?            −      2                      x        2            −      1        +      x          x      +      1        −      1          x      −      1

Octavio Barr · Accepted Answer

You have for some   A and   B            −      2                      x        2            −      1        =            −      2              (      x      −      1      )      (      x      +      1      )        =      A          x      −      1        +      B          x      +      1      You can then calculate   A and   B by multiplication with       x    2    −  1 and comparison. After that you can simplify it.

Lorelei Patterson · Accepted Answer

−            2                                              x              2                        −            1                          +                  x                      x            +            1                          −                  1                      x            −            1                                              =                              −            2                                              x              2                        −            1                          +                              x            +            1                                x            +            1                          −                  1                      x            +            1                          −                  1                      x            −            1                                                            =                              −            2                                              x              2                        −            1                          +        1        −                              x            −            1            +            x            +            1                                              x              2                        −            1                                                            =        1        −                              2            x            +            2                                              x              2                        −            1                                                            =        1        −                  2                      x            −            1                                                            =                              x            −            1            +            2                                x            +            1                                                            =                              x            +            1                                x            +            1                                                            =        1

Can you help me to simplify this algebraic expression? (-2)/(x^2-1)+(x)/(x+1} -(1)/(x-1)

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