Show that 1 − 2 − x 1 + 2 − x is equivalent to 2 x − 1 2 x + 1 I tried: 1 − 2 − x 1 + 2 − x = 1 − 1 2 x 1 + 1 2 x = 2 x − 1 2 x 2 x + 1 2 x = 2 2 x − 2 x 2 2 x + 2 x = ? ? ?What do I do next?

Question

Show that             1      −              2                  −          x                            1      +              2                  −          x                     is equivalent to                     2        x            −      1                      2        x            +      1      I tried:            1      −              2                  −          x                            1      +              2                  −          x                      =            1      −              1                  2          x                            1      +              1                  2          x                      =                              2          x                −        1                    2        x                                      2          x                +        1                    2        x              =                    2                  2          x                    −              2        x                            2                  2          x                    +              2        x              =  ?  ?  ?What do I do next?

iljovskint · Accepted Answer

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

Ashlyn Krause · Accepted Answer

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

Show that (1−2^(−x))/(1+2^(−x)) is equivalent to (2^x−1)/(2^x+1)

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