Page 109 - Grade 10 C.Math
P. 109

pbfx/0f 3
                                              2
                                          4
                                   3
                  n=;= lgsfNg'xf];\ M x  – 1 / x  + x  + 1
                  ;dfwfg
                  oxfF, klxnf] cleJo~hs = x  – 1
                                         3
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                                                2
                                        = (x - 1) (x  + x + 1)
                  bf];|f] cleJo~hs = x  + x  + 1
                                        2
                                    4
                                = (x  + 1)  – 2x  + x 2
                                        2
                                             2
                                    2
                                    2
                                = (x  + 1)  – (x) 2
                                        2
                                    2
                                             2
                                = (x  + x + 1) (x  – x + 1)
                  n=;= = -;femf u'0fg v08_ x afFsL u'0fg v08x¿
                       = (x  – x + 1) (x – 1) (x  + x + 1)
                                          2
                          2
                               2
                       = (x–1) (x  + x + 1) (x  – x + 1)
                                         2
                  pbfx/0f 4
                                                          3
                                                              2
                                                  3
                                              4
                                        3
                                                     2
                  n=;= kTtf nufpg'xf];\ M x  – 1, x  + x  + x / x  – x  + x
                  ;dfwfg
                  oxfF, klxnf] cleJo~hs = x  – 1
                                         3
                                        = (x –1) (x  + x + 1)
                                                 2

                                       3
                                   4
                  bf];|f] cleJo~hs = x  + x  + x 2
                                   2
                                = x  (x  + x + 1)
                                      2
                  t];|f] cleJo~hs = x  – x  + x = x(x  – x + 1)
                                   3
                                       2
                                                2
                  n=;= = ;femf u'0fg v08 X afFsL u'0fg v08x¿sf] u'0fg kmn
                       = x (x - 1) (x  + x + 1). x(x  - x + 1)
                                            2
                                 2
                                           2
                       = x (x +1) (x  + x + 1) (x  – x + 1)
                         2

                                 2
                  pbfx/0f 5
                                               2
                                                            2
                                                                     3
                                         4
                                                       3
                  n=;= kTtf nufpg'xf];\ M  x   + 10x  + 169, x  + 4x  + 13x / x  + x(x + 13) + 3x 2
                  ;dfwfg
                  oxfF, klxnf] cleJo~hs = x  + 10x  + 169
                                               2
                                         4
                                        = (x )  + 169 + 10x 2
                                           2 2
                                        = (x  + 13)  – 26x  + 10x 2
                                                2
                                                      2
                                           2
                 106                                                                  ul0ft, sIff – 10
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