Page 212 - Math Grade 12 (Advance)

PROEUS DARA

2'U'I:fltn r< r'

0~ ~ 0~
a= bq+r Sl~ r =a bq 2b a= bq'+r' Sl~ r' = a-bq' &Sl8t?Hfl2
r'- r = b · (q' q) 'i

0 ::;; r < r' < b ttfi t15 r > 0 ' r' > 0 m ~ r- r' < b 'i

nltmtiers : t?itlbm n22 m tnnsb 11 m2n5ruHt5 8 ttfiru n tnnsb 11 rn2
u u
0 1 0 I 0 I":: ~Q,I d eJ c$Q.I ':) ~ !.Q_ 2 t:;» ~
nHUHl5 12 'i firul6HtH1.IlbiH21tHGm'liti»?int2 m+n , mn 2w m 2w 17 'i
611

n = 17q'+ 12 (2)

ttifi (1) tin (2) t?iQl2 : m+n = (17q+8)+(17q'+ 12) = 17q+ 17q'+20
u
= 17(q+q')+17x1+3 = 17(q+q'+1)+3

2
mn = (17q+8)(17q'+l2) = 17 qq'+l7qxl2+17q'x8+96
2
= 17 qq'+17xl2q+17x8q'+l7x5+11

= l7(17qq'+ 12q+8q'+5)+ 11

2 2 2 2
m = (l7q+8) = 17 q +2X 17x8q+64
2
= 17(l7l + 16q) + 3 X 17 + 13 = 17(17q + 16q + 3) + 13
sh 11 ~ 13 'i

~ 0 •c:P Clol
n. &?i<1JG~2?in 1ftP9ti : -27 , -18 , -12 , 2 , 13 , 37 '1

3
2
4
.. .. ""
5
2. finn~n1nnrnt{]bmnh11HnntuuH~nt2 3, 3 , 3 , 3 , 3 sb 11 '1
1
37
~u!Tlmmn5nnrnnb11HuntuuH~nt2 3 sb 11 'i
u ......., c; 6V
1
207