Page 39 - Math SL HB Sem 1
P. 39

BNO\II{L  THEORE\I

              The formuia  above can be simplified:

               (r-rtn     =  r'rt.]'      t   - \  ll:                         I
                             .\
                                 \r
                                       ;                  bJ,        \\,here  b =

                                               \      l',      b+   i'j
                                                          (;)            b:+        I  ib'-    +nb"r*b")
                                                                    [  ].r          lr'

                                               \   (  1'  (n)  b   n(n  -1\  b:        n(n  l\ (r-r+i)
                                                                                           -
                                                                      lt                                   0
                                                                                                r'.
                                                       nbn-r + 6"     I



             Example 1:  Write  the expansion
                                                 of( 3x + 4y  1r




                                                                                                              l











           I
           I
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           I
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            Example  2     Find the coefficient  of x4 in thc expansion  of  2x -l
                                                                          1      )ii                         I
                                                                                                             I
                                                                                                            i


          I


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