Smarika of kalidevi

ul0ft lzIf0fdf cfudg tyf lgudg ljlwsf] k|of]u

       ljlzi6af6 ;fdfGolt/, 7f];af6 efjfTdslt/ / pbfx/0faf6 ;'qaf6 hfg] k|lqmofnfO{ cfudg ljlw elgG5 . o; ljlwdf cjnf]sg / k|of]usf] cfwf/df tfls{s lgisif{ lgsflnG5 . cfudg ljlwsf] l7s ljkl/t ;fdfGoaf6 ljlzi6 lt/ efjfTdsaf6 7f];lt/ / ;'qaf6 pbfx/0f lt/ hfg] k|lqmofnfO{ lgudg ljlw elgG5 . o;nfO{ ul0ftsf] clGtd ?k klg dflgG5 .

        ljBfno txsf] ul0ft lzIf0fdf oL b'j} ljlwx?sf] e"ldsf dxTjk"0f{ x'G5 . z'?sf cj:yfdf tYo tyf ;'qx? kQf nufpg cfudg ljlwsf] k|of]u ul/G5 eg] cfudg ljlwaf6 kQf nufOPsf tYo tyf ;'qx? k|dfl0ft u/L k|of]u ug{sf] nflu lgudg ljlwsf] cjnDjg ul/G5 .

        cfudg ljlwaf6 ul0ft lzIf0f ubf{ lgDg r/0fx? ckgfpg ;lsG5 . h:t} M

(a + b)² = a² + 2ab + b² cfudg ljlwaf6 lzIf0f ubf{ lgDg cg';f/ ug{ ;lsG5 .

-s_ cjnf]sg M cjnf]sg eg{sf] p2]Zok"0f{ x]/fO{ xf] . cjnf]sg / k|of]usf] cfwf/df g} s'g} klg vf]hsf] lgisif{ lgsfNg ;lsG5 . (a + b)² = a² + 2ab + b² eGg] wf/0ff l;sfpgsf] nflu sf8{af]8{nfO{ juf{sf/ cfsf/df sf6]/ ToxL sf8{af]8{sf 6'qmfx?sf] k|of]u u/L ljBfyL{nfO{ pQm wf/0ffsf] cGt1f{g u/fpg ;lsG5 .

-v_ k|of]ufTds k/LIf0f M o; r/0df ljBfyL{nfO{ ;lqmo ?kdf lqmofsnfkdf ;xefuL u/fpg' kb{5 . ljBfyL{x?nfO{ sf8{af]8{ lbP/ To;nfO{ juf{sf/ cfsf/df sf6\g nufpg] . pQm ju{sf] nDafO{nfO{ a / b b'O{efudf ljefhg u/L /]vfåf/f lrGx nufpg] h:t} M

lrqaf6 ju{ ABCD sf] nDjfO{ (a + b) PsfO{ / rf}8fO{ (a + b) PsfO{ x'G5 .

        k'gM ljBfyL{nfO{ pQm lrGx nufPsf] efunfO{ sf6\g nufpg] o;af6 rf/cf]6f 6'qmfx? aGb5g\, h;df @ cf]6f ju{ / @ cf]6f cfPt aGb5g\ .

dflysf] lrqsf] cfwf/df lgDg s'/fsf] JofVof ug{ ;lsG5 .

ju{ ABCD sf] If]qkmn = ju{ AEIH sf] If]qkmn + cfot EBGI sf] If]qkmn + cfot HIFD sf] If]qkmn + ju{ IGCF sf] If]qkmn

or, (a + b) (a + b) = a² + ab + ab + b²

(a + b)² = a² + 2ab + b²)

-u_ lgisif{ M dflysf] lqmofsnfksf] cfwf/df (a + b)² = a² + 2ab + b² x'G5 egL lgisif{df k'Ug ;lsG5 .

        o;/L cfudg ljlwaf6 kQf nufPsf] ;'qnfO{ lgudg ljlwsf] k|of]u u/L lgDgfg';f/ ul0flto ;d:ofx? ;dfwfg ug{ ;lsG5 .

h:t} (x + 3)² nfO{ vl08s/0f ubf{,

(x + 3)² = x² + 2.x.3 + 3² ( (a + b)² = a² + 2ab + b²) = x² + 6x + 9

        cGtdf cfudg ljlw / lgudg ljlw Ps csf{sf kl/k'/s x'g\ . To;}n] ul0ft lzIf0fdf oLlgx?sf] k|of]u cj:yf x]l/ qmd};Fu ug'{kb{5 .

                                                – lji0f'xl/ lwtfn, ul0ft tyf lj1fg lzIfs