Page 107 - Grade 10 C.Math
P. 107

(17) a  – 2ac + c  – b  / b  – 2bc + c  – a      (18) x  – y  – 2yz – z  / y  – z  – 2zx – x 2
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                  (19) x  – y  + 2yz – z  / y  – z  + 2zx – x      (20) x  – y  + 2y - 1 / x  – 3xy(x–y) – y + 1
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                  (21) x  + (b-a)x – ab / x  – (a – b)x – ab     (22) x  + (a – b)x – ab / b  – 2bx + x 2
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                  (23) x  + x  + x + 1 / x  – x  – x + 1      (24) x  + x  + x + 1 / x  – x  + x – 1
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                  (25) x  + x  – x – 1 / x  + x y + xy        (26) x  + x  + 1, x  + 1 / x  – x  + x
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                       Curriculum Development Centre
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                  (27)  a  + a b  + b , a   + b  / a  – a b + ab    (28) x  – 3x  + 1, x  – x  – x / x  – 2x  + x
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                  (29)  x  + 2x  + 2x + 1, x  – 1 / x  + x  + 1     (30) x  + x y + x y , x  + x y  + y  / x  – y 3
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                  (31)  x  + 2x  + 4x, x  + 4x  + 16 / x  - 8     (32) 27x  + 125y , 9x  - 15x y + 25xy 2
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                  (33)  16x  + 100x y  + 625y , 4x   – 10x y + 25xy  / 8x  + 125y 3
                  (34)   x  – 7x  + 1, x  + 3x  + x / x  – 11x  + 1
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                  (35) x  + 64y , x  + 16x y  + 256y  / 4x  – 16x y + 64y x
                                    {

                  8.2 n3'Ttd ;dfkjTo (Least Common Mul ple)
                  lbOPsf b'O{ cf]6f aLhLo cleJo~hsx¿sf ;femf u'0fg v08 / ;f] afx]ssf u'0fg v08x¿sf]
                  u'0fg kmn lgsfNg'xf];\ .
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                  x + 4 / 2x  + 4x + 4

                   4
                                                                 ;femf u'0fg v08 = (x  + 2x + 2)
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                  klxnf] cleJo~hs = x  + 4
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                                = (x  + 2)  – 2x   = (x  + 2)  – 2x) 2
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                                = (x  + 2x + 2) (x  + 2 – 2x)
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                  bf];|f] cleJo~hs  = 2x  + 4x + 4 = 2(x  + 2x + 2)
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                  ;femf u'0fg v08afx]ssf u'0fg v08x¿ = 2 / (x  – 2x + 2)
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                  oL b'j}sf] u'0fg kmn = (x  – 2x + 2) x 2
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                   n=;=   = d=;= x afFsL u'0fg v08x¿sf] u'0fg kmn
                             = 2(x  + 2x + 2) (x  – 2x + 2)
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                  t;y{,  lbOPsf  cleJo~hsx¿sf]  ;femf  u'0fg  v08  /            x  + 2x + 2  2
                  afFsL u'0fg v08x¿sf] u'0fg kmnnfO{ n3'Ttd ;dfkjTo{
                  (Least  common  mul ple)  elgG5  .  o;nfO{  e]glrqdf

                  (Venn diagram) lgDgfg';f/ k|:t't ug{ ;lsG5 .         n=;== 5fofF kfl/Psf] efu
                 104                                                                  ul0ft, sIff – 10
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