Page 102 - Grade 10 C.Math

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PsfO 8 dxTtd ;dfkjts / n3Ttd ;dfkjTo {
(Highest Common Factor and Least Common Multiple)

8.0 k'g/fjnf]sg (Review)
Curriculum Development Centre
;d"xdf 5nkmn u/L tnsf aLhLo cleJo~hsx¿sf] v08Ls/0f ug'{xf];\ M
(a) 2x + 4 (b) a + ab + ab + b
2
2
3
(c) 2x - 8 (d) 8x - 27y 3
2
3
4
(e) x  (f) x + 64
(g) a + 9a + 81 (h) 27a + 125b
4
3
3
2
(i) 5x + 9x + 4 (j) x + 7x + 6x
2
2
3
2
To:t} u/L aLhLo cleJo~hsx¿ x + x, 4x + 8 sf v08Ls/0fx¿ s] s] xf]nfg\ < k|To]s aLhLo
cleJo~hssf] /]vf ul0ftLo lrqx¿ klg agfpg'xf];\ .
sIff 8 / 9 df aLhLo cleJo~hsx¿sf] v08Ls/0f af/] k|z:t cWoog / 5nkmn eO;s]sf]
5 . oxfF dxTtd ;dfkjt{s / n3'Ttd ;dfkjTo{sf af/]df 5nkmn tyf cWoog ul/g] 5 .

8.1 dxTtd ;dfkjt{s (Highest Common Factor)
aLhLo cleJo~hsx¿ 2x + 4 / 3x + 6 sf u'0fg v08x¿ s] s] xf]nfg\ <
ltgLx¿df ;femf u'0fg v08x¿ s] s] xf]nfg\ < tL ;femf u'0fg v08x¿nfO{ s]
elgG5 < ;fy} pSt u'0fg v08nfO{ e]glrqdf k|:t't ug{ ;lsG5 of ;lsFb}g < 5nkmn ug'{xf];\ .

tn lbOPsf cleJo~hsx¿sf] v08Ls/0f u/L ltgLx¿sf] ;femf u'0fg v08 kTtf nufpg'xf];\ M

(1) a + 3a / a + 3
2
2
2
(2) a – 9 / a – 6a + 9
(3) 6x + 9 / a + 6a + 9
2
2
3
2
2
3
(4) 2x + 4x + 2x / 2x + 6x + 4x
dfly lbOPsf cleJo~hsx¿sf] ;femf u'0fg v08nfO{ s] elgG5, n]Vg'xf];\ . ;fy} pSt ;femf
u'0fg v08x¿nfO{ e]glrq (Venn diagram) df k|:t't ug'{xf];\ .

99 ul0ft, sIff – 10