Simplify the expression: 3 2 n − 1 3 n + 1 − 3 Factorizing indices is quite a cool and intriguing area of indices. However, I stumbled upon one that I couldn't do any further: 3 2 n − 1 3 n + 1 − 3 I got up to this stage: 3 n ⋅ 3 n − 3 0 3 n ⋅ 3 1 − 3 1 I got to this stage through using the laws of indices and breaking them down. I feel that I'm close, but not there yet. Please help. Thank you!

Question

Simplify the expression:                     3                  2          n                    −      1                      3                  n          +          1                    −      3      Factorizing indices is quite a cool and intriguing area of indices. However, I stumbled upon one that I couldn&#039;t do any further:                    3                  2          n                    −      1                      3                  n          +          1                    −      3      I got up to this stage:                    3                  n                    ⋅              3                  n                    −              3        0                            3                  n                    ⋅              3        1            −              3        1            I got to this stage through using the laws of indices and breaking them down. I feel that I&#039;m close, but not there yet. Please help. Thank you!

Guillemaejy9x · Accepted Answer

3                  2          n                    −      1                      3                  n          +          1                    −      3        =                                          (                                          3                                            n                                      )                                    2                    −                        1                          2                            3              (                              3                                n                          −        1        )              =                    (                              3                                n                          −        1        )                    (                              3                                n                          +        1        )                    3              (                              3                                n                          −        1        )              =                              3                          n                    +      1        3

Paiellorbkzp · Accepted Answer

The denominator can be broken down into   3  (      3    n    −  1  ). The numerator can also be broken down into   (      3    n    −  1  )  (      3    n    +  1  ). Simplifying this gives us   (      3    n    +  1  )      /    3 as the answer.

Simplify the expression: 3 <mrow class="MJX-TeXAtom-ORD">

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