Page 108 - Grade 10 C.Math
P. 108

pbfx/0f 1
                                             2
                                                     3
                                         4
                                                         2
                        n=;= lgsfNg'xf];\ M x  + x + 1 / x  + x  + x
                        ;dfwfg
                                                  2
                        oxfF klxnf] cleJo~hs = x  + x  + 1
                                              4
                       Curriculum Development Centre
                                      = (x  + 1) + x 2
                                         4
                                         2
                                              2
                                                   2
                                      = (x  + 1)  – 2x  + x 2
                                      = (x + 1)  – x
                                              2
                                                 2
                                         2
                                      = (x  + x + 1) (x  – x + 1)
                                         2
                                                   2
                                          3
                                             2
                        bf];|f] cleJo~hs = x  + x  + x
                                        = x(x  + x + 1)
                                            2
                        ;femf u'0fg v08 -d=;=_ = (x  + x + 1)
                                                 2
                        afFsL u'0fg v08x¿sf] u'0fg kmn = x(x  – x + 1)
                                                         2
                        ;femf u'0fg v08 / afFsL u'0fg v08x¿sf] u'0fg kmn = x(x  + x + 1) (x  – x + 1)
                                                                                    2
                                                                          2
                        n=;= = x(x  + x + 1) (x  – x + 1)
                                             2
                                   2
                        pbfx/0f 2
                                                  3
                        n=;= lgsfNg'xf];\ M x  + y   / x y – x y  + xy 3
                                             3
                                                       2 3
                                         3
                        ;dfwfg
                                                    3
                        oxfF, klxnf] cleJo~hs  = x  + y
                                                3
                                             = (x + y) (x  – xy + y )
                                                      2
                                                              2
                        bf];|f] cleJo~hs = x y – x y  + xy 3
                                          3
                                              2 2
                                      = xy(x  – xy + y )
                                                   2
                                           2
                        ;femf u'0fg v08 = x  – xy + y 2
                                          2
                        afFsL u'0fg v08x¿ = (x + y). xy
                        t;y{, n=;= = ;femf u'0fg v08 X afFsL u'0fg v08x¿

                                  = (x  – xy + y ) x (x + y) (xy)
                                     2
                                             2
                                  = xy(x + y) (x  – xy + y )
                                             2
                                                     2


                       105                                                                ul0ft, sIff – 10
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