Page 110 - Grade 10 C.Math
P. 110

= (x  + 13)  – 16x 2
                                                      2
                                                 2
                                             = (x  + 13 + 4x) (x  + 13 – 4x)
                                                            2
                                                 2
                                                 2
                                                            2
                                             = (x  + 4x + 13) (x  – 4x + 13)
                        bf];|f] cleJo~hs     = x  + 4x  + 13x
                                                     2
                                                3
                                             = x(x  + 4x + 13)
                       Curriculum Development Centre
                                                 2
                        t];|f] cleJo~hs      = x  + x(x + 13) + 3x 2
                                                3
                                             = x(x  + x + 13 + 3x)
                                                 2
                                             = x(x  + 4x + 13)
                                                 2
                        n=;=   = ;femf u'0fg v08 x afFsL u'0fg v08x¿
                                  = (x  + 4x + 13) x(x  – 4x + 13)
                                     2
                                                  2
                                  = x(x  + 4x + 13) (x  – 4x + 13)
                                      2
                                                  2
                        cEof; 8.2

                        n3'Ttd ;dfkjTo{ -n=;_ lgsfNg'xf];\ M

                        (1)  x  + 4 / 2x  – 4x  + 4x        (2) x  + 8 / x  – 2x  + 4x
                             4
                                                                3
                                          2
                                                                           2
                                     3
                                                                      3
                        (3) x  – 1, x  – x  + x / x  + x  + 1     (4) x  + 2ax  + a x  / x  + ax  + b x
                                 3
                                            4
                                     2
                                                                     3
                                                                4
                            3
                                                                                   2
                                                                                       2
                                                                              3
                                                2
                                                                         2 2
                                                                x               x
                        (5) y  + (2b  – a )y  + b  / y  – ay  + b y  (6)     /
                                               3
                                                        2
                                       2
                            4
                                     2
                                                    2
                                           4
                                 2
                                                                         x             x
                                                  x
                        (7)   x     x     /   x        (8) x  – 5x y  + 4y , x  + 8y  / x  – 8y 3
                                                                                      3
                                                                4
                                                                           4
                                                                                  3
                                                                    2 2
                                                                              3
                                  x       x          x
                        (9)   x  + 64y , 2x  + 8x y + 16xy  / x  – 4x y + 8xy 2
                                            2
                                                            2
                                                       3
                             4
                                                    2
                                       3
                                   4
                        (10)  x  + 4y , x  + 2x y + 2xy  / x  – 2x y + 2xy 2
                                                         2
                                                    3
                                                2
                                  4
                                     3
                             4
                                          2
                                         2
                             4
                                                   2
                                    3
                        (11)  x  – 64, x  + 4x  + 16x / 4x  + 16x + 64
                        (12) x  + 9x  + 81, 3x  + 9x + 27 / x  + 27
                                  2
                             4
                                                      3
                                          2
                                          3
                                                            3
                                                         2
                             4
                                  2
                        (13)  x  + 8x  + 144, x  + x(x + 12) + 3x  / x  + 12x + 4x 2
                                  2
                                                            2
                                                        2
                             4
                        (14)  x  – 8x  + 196, x  + x(x+14) + 5x  / 2x  + 12x + 28
                                          3
                        (15)  a  + 2ab + b  – c , b  + 2bc + c  – a  / c  + 2ac + a  – b 2
                                                          2
                                                             2
                                                                      2
                                          2
                             2
                                       2
                                             2
                                                      2
                                       4
                        (16) x  – 6x y  + y , x  + 2x y – xy  / x y – 2xy  – y 3
                                          3
                                                    2
                             4
                                                        2
                                                               2
                                  2 2
                                              2
                        (17) x  + x  + 1, x  – 1 / x  – 1      (18) x  – 16x , x  + 6x  + 8x  / x  + 8x  + 16x 2
                                                                                       4
                                                                         5
                                2
                                                                              4
                                                                                           3
                             4
                                                                                   3
                                      3
                                                                 6
                                             6
                                                                       4
                        (19) x  + 4x + 16, x  + 2x + 4x / x  – 8   (20) x  – 4x  + 12x, x  + 8x  + 144
                                                                                  2
                                        3
                                                                 3
                                                     3
                                             2
                             4
                                                                              4
                                                                      2
                                  2
                       107                                                                ul0ft, sIff – 10
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