Page 80 - Mathematics
P. 80

Example 5.4



                Divide  4ax + 6ay  –10  by 2 .az  a

                Solution
                                         4ax +  6ay −  10az
                (4ax +  6ay −  10az ) 2a÷  =
                                                2a
                                         4ax   6ay   10az
                                                       =  +  −
                                          2a    2a    2a
    Tanzania Institute of Education
                                                       =  2x +  3y −  5z
                Therefore,  4ax +  6ay −  10az divided by 2a is 2x +  3y −  5 .z




                Example 5.5

                Simplify each of the following algebraic expressions.

                    1                               1
                (a)   (8b +  12bb−  )                       (b)   (15g + 5g )
                    4                                5

                Solution
                    1                1
                (a)  (8b +  12bb−  ) =  (19 )b
                    4                4
                                     19b
                                   =
                                                4
                               1
                    Therefore, (8b +  12bb−  ) =  19b .
                               4                 4

                (b)     1 (15g +             1 (20 )g
                             5 )g =
                    5
                                   5
    Mathematics Form One                              =  4g


                                   20g
                                    5
                                 =

                               1
                    Therefore, (15g +
                                          ) 4 .g=
                                       5g
                               5


                                                  74




                                                                                        25/10/2024   09:51:22
   Mathematics form 1.indd   74
   Mathematics form 1.indd   74                                                         25/10/2024   09:51:22
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