Page 1 - Home Assignment-Identity Ch-2
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SAI International School
                                                      CLASS -IX

               Mathematics
               CHAPTER-2: Polynomial

               HOME ASSIGNMENT - 4



               SUB TOPIC: IDENTITY


                                               1      1       1            1 
                                                            , x −
                                                   , x +
                   1.  Find the product of  x −             2   2   and   x −  4   .
                                                                              4
                                            
                                               x      x       x           x 

                                                                                              + +
                                                         3
                                            −
                                                                                     −
                                                     −
                                                3
                   2.  Find the value of (x a +    (x b +   (x c −   3(x a  )(x b )(x c  if a b c =   3x.
                                                              −
                                                                  3
                                                                         −
                                                                               −
                                                                 )
                                               )
                                                        )
                                                                                        )

                   3.  95 students each from 102 schools participated in the ‘Republic Day
                       Celebration’ in Bhubaneswar. Find the number of students participated
                       without actual multiplicatin. Which values of the students are  depicted here ?
                       (Value Based )

                   4.  If 3a −  2b+  5c =  5 and 6ab+ 10bc− 15c = 14, find the value of
                                  3
                                                3
                       27a +  125c + 90abc − 8b  .
                           3

                   5.  If p =  2 – a , prove that a + 6ap +  p − =
                                                  3
                                                            3
                                                               8 0 .

                                            2
                                                                              2
                   6.  Simplify: (   +    +    ) + (   −    +    ) + (   +    −    )
                                                             2

                   7.  Factorise :  x −  4  3x +  2  2
                                              .

                                        3
                   8.  Factorise : 2√2   + 3√3    + 5√5 − 3√30 xy
                                                  3

                                                        −
                   9.  Factorize : 5(3x y+  ) + 6(3x y ) 8
                                                   +
                                            2

                                            12
                    10. Factorise :     12  −    .

                                            2
                   11. Factorise    +  13    +  32   + 20  using factor theorem.
                                   3

                   12. The lateral surface area of a cube is 4 times the square of its edge. Find the
                       edge of a cube whose lateral surface area is given by :   4   +  8 −  √128     .
                                                                                     2



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