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Méres' doe Disa chia Ait Pat Ae Bei cae An ilbgl yy tyMelcyiag Ne che die x6" Qn 40.. eas Hoa ke Lên... Plea ho!. Che lab, d rgvofen... Chea ib ta cae & SI nguyen.

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+ Méres' doe Disa chia Ait

Pat Ae Bei cae An ilbgl yy tyMelcyiag Ne che die x6" (Qn 40) eas Hoa ke Lên

Asay AWGu chia Yak wha som:

+ Dat Ritu chia Yet cho 2: Wh did Ai Le Do € LOD 41684

+ Dat Riu chia Bet cho 5: Ai SSao fo) St

+ Dat Diu che Ut cho 19: NW: 10es Q.= 0

+ Dar Iau dhe Pet cho 4 va 25: Prche Lat cho 4 We Ga, : 4

A chia fat do 25 bbe Gas 7 25 + Dat Diu che Pat cho 8 SRS Acha Lah cho’ We ara: 8

chin Deak cho 195 Wb Brae: ALS

2% (Dom 3) ke tan cat che x64 cua fh chia VER cho % (Dam 9)

t++eetatta

» zoo

5 f N Đ 5 Ấ a

<a.= b(meÀm œ> (a—b): m

+ Mg asthih dak ob dey Arana"?

Cho abcde eZ; m,n CN* the

a) Tle phan a: a=aCmed m)

by We dot wing: a = bCmed m) >b = a (medm)

c) TỊc kã6c8X: a = bCmod m), b = c(msdm) > a = Cc (med m)

atc = bt+d Cmodm)

ad Cmew) ac = bd (mod wm)

are = bie Cmsd m)

ae = be (med m)

€) ae b(maÀ mỒ > o*z b"Cmod m3

+ are > an = bn (mod mn)

h) az b(mod mồ, a= b (med n) => a=+ fro mm)

k) ac = bc( med m ) ' (Cm) =1 > A= kmeÀ m \(

b xwuut> khu (a, k3 =1

x qbeNn*™ fr ak = ab abl

x M&tss' ea tap

Bad Che neN* CNR: (n?+ Sn: 6

Hb

n?+ Syn = Wont Gn = nc -1) + én = @-Dn(ntt) + êm

Vr@-s Dales) tt teb cáa 2364? ahd LEo hip ron 45s lại Ass! chSe 2 2 ve 1% Lt chin Bak

cha à mà (2,5) = = (n-ÙnŒ+1):6 Tử LAI, &n: €

=> (n°+S¡):€ > de

bai 2 Che abcd & N* Điet(a+b+c +4): 6 MR: (ab b+ 2 +A*): G

ID

VWz N* daw: nn = n(W'4) = nner (Gath lod 3! wo% 662

ny 455 ba Asé! chris Si bate Tete bea ae oe A Ge “—n):€ "

>|@-a)+(#-b) +e 1 +°- Joe ha

kate rb re Wes cect ie wr arbrerdyi6 < go thick >

Wa feb at oP

Jaco: - afa-l) = @-Nalat))

_ G6- goa irk iS ni wiл ibn Kap ron tan Tar A 88 chia Ash cho % va Asa! chica

a(o^-Ð - a(a°~0(4*'24) = (a- pagan (a 4 +5)

(a= 4) (a- sibafat sp + S(a- Nalarl

= =D (a-Na (art +2 + 5(a-Ða(at1)

sa 2)(a-Dalard (ard) bet cae SS is ay rin ton das Ags! din Dat cho 2, nat

2.3.5= 30 Mw: @-Ya-Na(atD(at+z) 130

doc: (Nala): 2d

(a-1) a(a+Ð: ® > S(a-Ða(a+1) : 30

(2,3) <4

»>(a"-0): 30

Ciba

+ Tad: a- he: 2

@- Nalan)ji Ss [Ss @-Nala): => A:€ @

(2, 3)=4, 2.326

+ \Jn @= Sk (kez) SA:S

+ Vx @= Sk +1 ">> (@-0(4 +0: S >ALS

Ni (6,5) =-1, 6 S= 30 te © ve ® > A: 30

Vow (°- a): 20

b)(a- a): 30 c)@'Ì- a): 42

bề Tae: aa

= Tao: Cx-a”-a = a(aS-1) = a(a* N(atray+L)

@- Òala+t[@?=+3(a=3) + (Aa- - 25) |

(-Ða(a+ D(a—3)(a" + 3) + 1(aA-5) Ga paler D

Je aw a-3)(a-2 reagent Bese eee OED alarr)(a+2)(at+3) Xa cứa 185 neo tin yen web

TT @&-(6+ÖÔ : 3

(aVYa lan) | > @a)a(as) : 6 > ta-alan) ae Slaal@

>,*+)=1,3.>=€ > tHaral(an)(2d_S ) +: 4

Bai 4 Chom EN CMR: A= n7(n"- 7) — 36n : SOZO

HD

Tepe n[ n° (n't) ~ Att = n[n(n=7)-6 |] [n(n 9) +6]

h = n(n*~ Fn— C)m< 7a +€

fA = n[m2+1- 3(n34) |[ nỶ-t- 1(x~1)]

A= ®(m1)(n-n- €)(n-D(w +)

Ñ = re I N(aHt)(n+2)(n- 8)(n-L)\(n4+8)

f#-=_ im- 3) Cn 2 (- Ayn (nt1)Cn+L)(n+8 )

AlZ oa T& nen

t Tas ee Li 3, in obi) wl Aoi At cho 4, 2 os lạc c3 KalcÍa 2,

nen fri A 2 2) 4:46 ©

+ Co th tet X hd, 3.96 ngage “6 ký, > > Ag ©

nin +?

+ TẢ, TẾ aÐ _ `.” Tht 1h dae > fant ©

Ea ca ` 3,46 act, k' lây đề SRS 144 = S040 ©

* Nha,

Tie aL Wn Pel a aoe

+ Pk¿ l2 at

B38: Che a,b,c © N thea mis at+b+48c : 42 CMR: (T+ b+ 85: 4D

Bai 5 Che we N CMR: A= n(m+t)(Fnt+4):6

HD

Tags: | AL =! #w(w+L) (2a +?) = 42n (n+l) + tn(n41) (an +1)

Ñ = 22n(wt\)+ ?n(n+1)Ìfn+2)+(a-4) |

A = #n(w+(nt 2) + Tí-Dw(m+LỒ + 42A(we1)

Co: nữ +1)(n+z)!2

n(n+J) TƯ 3 \ > n(nvy (ate) § 6, toy Mn -lm(m#1Ồ: €

Ant Fh đã se = ua! PEER a> Nh:

anr A= O DS n= Sk > A: 5

+VaelvA= 2S n= B42 > aà+T = 21k +20: 4 =A: 4

Te A:2,A+3w(2,3) =1, 2.%S=6

> #:<€

Đại 6 Ca 2 6Ÿ N dam mụn thea wn: 24m''+1= no CMR: mniS

HD

x Naw: 5S > mid

m= Skt2 > mt=(Sk+ 2)" = (+2) = 4 ( maAS)

> mm z 1(MeAS9) > 2#m1= 24 = 4@sàS)

> 24wm'+l1 z 5 = O(mAaAS) S 24w+ 1 : 5n :S>n:!5

> mn iS

Cath, khác

» N68 m'5 > ma:5

x|ÌINgì m LS > m tin cing la 11 2; 3/4567 4819

+ Nà ví 5 cing br 2,450) % om» mt tS cep bk o> 4 => Zam +d tan cag lS

> Nn nt S2>ni:Ss> mis

+ M8 m toe omg eA S54) 9 D mG, omy LA > ri Fe cay SS Dae Vn cag ES

ba t cls A b ng fee Aekorg sal ceo a+b: lbs | Thane A= ane

HD

Gi hp hae pe t WiGyp=2 tro T4 n8 = dG yD

V7 a2: a©Š ^ d*(x* 44%) da - 1” +: oy

> jay R ân ui Guy) = 4

prety less 2k} “hcl Mit cho S(x-yly-H(2-»)

HD

Det a = x~-u ,b=w~ + bh del ta Ade | Z-x = -(a rb)

: > >(-)~ z(z -x) = -Sab(a +b),

Cán vành) @+k)°- ap by hic he dha Sab(a+b) VA a,b Ee

Jace:

&+k°-aŸ-Ề - Sa*b + 10a'L”+ goa?k* + Sab’

Sab (a°+ 2a?b + 2ab*+L3) Sab[(a*+E)+ 2ab(arb) | Sab(arb)(aab'- ab +2ab)

7 Sab (arby(a™+b"4 ab) : Sab (ast)

> (a+b) -aS-b” : Sab( > II

Vay œ-w)P+@—#) + (z~>x)Š dua hal đe 5(-4)WLạ-#)(#~x)

x Cha ! (Gar by> = @rby (arb) = (+b + 20b) (ab +b? 4 Sab + Sab")

- aŠ+ Sa*b +1Ða*b*~ ¿10a? + Sabt + b>)

Bai 8 Cho sy, 2 lee eae, Sa! nguyen thea man Œ-q93(4~#)(#-x)= x+d+#

CMR: Rryr st 2+

HD

+ Nêu Liy st s6' dé Lac nhai kh: lia cho & the bie so! RY Y- HER Lhe chia bal ho %,

ee #rd+% = (O†l+2)= O (mod 3) bai (Cru +4): 3 Đền mại riba Moa vol gd Hk

cáa bơ †e0m

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OK SD vow mSà dđuận loài ai raat beta Lad oon

Niet hag S06 1 de a's che cig at date Af Gy Cy 2) =) cig can hates

>a pWly-DE-Yilt >Atry+H): LF

> dpm

Plea ho! Che lab, d rgvofen OMR wl at+br4c?: 3 Hi hen alsctalble lb, Pat thal s|

x mas sl ngwier cc AB co dow KX = 541A wR Ae f-40j)14,qgE7

+ Viel abc 9 cou 86! ngwy Ein Lg dbtad a= 34, bu 1 :

iC = 343 +As va œu s6 due My AcjAS ee

Ta ad 3e Ảưạc

at = ôqi +M) = Ska try

b*) - Gqthr) = Oka trac

c7 = (2 vI+A 3Í = 4k; TP Ás

Kh af: at+ b> +c3 Mã 3(kit ke tks) Heart As) Thee gia dat a®rb’+c* +9

Ma |mrdrtas| £3 ded S Avtar tags O- Do AyrArjds F-10545 neo te

Manrtis= O > thay SS6'M Ary As co 186! = O

> Thong aS abc o mt co/chia bat cha 3

Te ge thiat arbre 9 >| (h2 x1 rc†) 2 2

>|a°+k”rc + E2+0590/-1W lì » > @rbic)

> atrbic: 3 & @W+b+c}):4

Nã a?+b”+c? : 3a > +(a+k)(V+c)(c+2 : 3

> abc: &

> Thay aS abc ca wit co clea Hà 3

* chi 4: @+b+cXsab+kc + co) = @+byb te)(c+a)) + abc

‘Pai A Chea ib ta cae & SI nguyen CMR: ab(a-b) (ao +b: 30

pe ae Ns œ mguijoo ti (OC = 90) 8 5O

That Nậu:

x(#!-0 - x(t) (RED) (@x-Òx(Œx+Ð [@ˆ+^)#S5

@Œ-0x(xzt+Ð(x”-4)+t 5(x-0x(xtlÐ

Gn 21; 13%(x+)(# +2) + S(E-Ox(x~+}

Te Œ&-0+ œ+2 la cáa ® SS’ nga 4#? “rep rin tio dài L” ¡3,1 số : 2 ma(2;3)=L

Va La Hy Ge > (@- pate) 6 > SCS Year) +30 @

Lại có G&-2 Po alee +2) lati cua S tạ, RiGn hap vin Yoo tu 196! chia Rat de

> (x-2)Œ-Dx@ 1O z2): aO© ©

Ta Ow > Z°-+z: 30

Tn kạ bai bow, ta cd:

Ap dang 424 ver ab nguybo Ti in "F5 -> b(aS-a3) -a(E-k) : 2©

Mow ab (a? _L) rrr :| 2Q |> pc»

Bai Che P.4 Le các sS nao ®8' >5 CHE: (PS 42)(p*247) + 1

al- Skl+|2 a - 2k t+ wk+4 da 1

* Do 4> P.1 PP ~ oe = > P, hcl be p> pla pxr5,a%5 5 p> 4” S ả 1 be 2

x LX

Net

+ Ne 4 4` cha ‘his i Sete Sales SaaS aan Ss

Do ad sản Getante +4 2S ®

‘Jad: p-q = ¢-) -(4-D

weedy Ass! dil Ne Aim » =(p-Dp(p*): 4 LỆ te > (p-DCp+0: sti ee

do\>S ver phe > p-l wo pri te 256 ion 4m >> A 9s hie Aa 0 VN Pastels 44,

eae oat 24 2 120 von KO va © > (p-4*) (pt 4°) + 420 > Apow

+ Mai pÌs sSt ngư 38 oS ti pod 124 > pt =@ ~0Ò(p +): 48

Fe SE ee qu cee _ A4) taht tne eee

- 240) : 240

a + CMR : a1 : 240

V12 lang dept ere + pd 2 thong BS S La pli sẽ Â6Ì giáo CNK: b dua hết

che 2434

HP

‘Do mau cát AZ“ arg et la 23354 ) St 518 Gs M la

Pak Naki = Uns -|= [HE L kl 4 xoá sa cử Taste’ dec 6 nha|- da 2.¡ %;43 ; TỰ 1B

| | J 4 | 4} | ker tke _

whan ‘Ning JS) mB voy ca AS! con loi fae ve i £I, LEN, L=L2,3, Tak, do ky 7% H

_+

‘De key lert beg + kịp = M T wx XD AT plan 3" gf span y2 Cô: BH L Heyy = 1a