Partial fractions (How do I get from x to y)how do I get from γ ∗ ( λ 0 w ( 1 + r ) t β t α λ 0 w ( 1 + r ) t β t α − λ 2 β t α ) to γ r w λ 0 β t w λ 0 β t − λ 2 ( β ( r + 1 ) ) t Im stuck. Any help?

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Partial fractions (How do I get from x to y)how do I get from  γ  ∗      (                                        λ            0                    w                          (          1          +          r                      )            t                                β            t                    α                                                                λ              0                        w                                (            1            +            r                          )              t                                      β              t                        α                          −                              λ            2                                              β              t                        α                                )  to            γ      r      w              λ        0                    β        t                    w              λ        0                    β        t            −              λ        2            (      β      (      r      +      1      )              )        t            Im stuck. Any help?

Rafael Dillon · Accepted Answer

All terms contain   α in the denominator, up and down, so these cancel right away. The same holds for the       β    t  Write      λ    2    =                    λ        2            ⋅      (      1      +      r              )        t                    (      1      +      r              )        t            The difference of fractions below then becomes                    λ        0            ⋅      w      −              λ        2            ⋅      (      1      +      r              )        t                    (      1      +      r              )        t            So the total becomes (as now both fractions have the same denominator)            γ              λ        0            w                      λ        0            w      −              λ        2            (      1      +      r              )        t

Partial fractions (How do I get from x to y) how do I get from γ ∗

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