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ZEE= 4(221+220)(221-220)
th9SU63OJ6)(8 cn)&um)aJo
J63cl 61)JCTW6)
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='(a+b)(a-b)
xz1 J(1
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(a+h) 2 =a2 +2ab+h2 (a-b) 2 =a2-2ab+b 2
(a) 5 (b)9 (c) 3(d) 7 a1-b1 = 81 -(1) a+ b = 27 -(2)
=21
(1)+(2)=
mamawd
o6n33 cruo64 ci%@ 36)s QJU)
(a+b) 2-(a-b) 1 =4ab
101-992 =
a+b=(a+b) (a2-ab+b2 )
a2-h 2 = (a-i-b) (a-b)
a-b=(a-b) (a 2 +ab+h 2)
1012_992 = (101+99) (101-99) =205 ~ 2 =400 QJ16)s 101. 99 o)(TD1OJ 6)0I52 (010) 63Q OVo6jJj dE h p O6a
1.25=
0o6
6)S (lBl0)2
6)S
=5=25 8.75x8.75-7.5x8.75+3.75x3.75
r
os
28, 26 IQ)TDThJ
a- +b2 -2ab= 16 106 -2ab= 16 106 -16 = 2ab 90 = 2ab
m)'l(t?i (o)G)(m
(16.25+3.85)2_(16,25_3.85)2
a=4.25, b=0.75 oioo (1S6)2(TD(D.
a -b
a2 -i-b2 = 289 (a+b) 2 = a1 +b1 -i- 2ab (a-i-b) 2 = 289 + 2 x 120
=4.25+0.75=5 13.25'<13.25-3.25x3.25 13.25+3.25 ooi18m? a=13.25, b=3.25 omJoo = (a+h)(a-h) =a-b a+b a+b
+
=13.25-3.25=10
(
+)
(i - 472
(01)(1D(0
a a2 -ah +h 1 a + a2-ab+b2 =a+b
221-220w = a=221 b=220 cft=cd b 221-220
23, a-
24. a-
-I a'
=4
(8T(0)O(0O a- +
-
a-
I
+1) (2-
= 2 o1oo& a-2 +i,,
a-
=
=
a-
J(['1) 2
=
(a) 18 (b)14 (c) 20 (d) 22
('5 +3) (N5 -N3) = (a+b) (a-b) = a -b
-
512 -511
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o60Jll6o (a1o3) 00)J0))1(6 )'10)PJ oJ6T0)J00))0)10) CfllW)0)o m18J0110?j0Jm)(d - 1993 Q16l0l 24
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mlwaJlai? aicmoff 23
(b)4 (c)8,7 (d) 9 O6flOUJth0)}
b3 a2 + ah +b2 -
a-h = (a+ab+b)
(''3)
a -b a2 + au) -i-b 2
= 5-3 = 2 (86fl8 (fl)o6JJJ36(S (0)O,
19. (00OJ10)6)S (n36mm0nojo 48. Q),l0? cr u.6uj apa os
zll
= a-h
+1 = 5
aoio1o,r1
+J,, =
x
a,b
X-
- 4ab (a) 25 (b)27
=
a-2 +
(a) 500 (c) 1500 a+b = 50
a-2
(b)1000 (d) 800 a-b =20
(6016)S ((0)J3(1Do
(c)23 (d)30
(,
r4l(0?( 9Uo61,36)S OJ(D ns aljoJomm
+ 2 x a- + I
= 25
a--
a-2 = 25 +, +
=
a2 -b2 = (a+b) (a-b) = 50x20 = 1000 o6ma (fl)o6.
(a-h)
=6.35-2.35 =4 21.x
(a-b) 2 =(a+b) 1
)
a'2 + I,. = K1 + 2
fflô(3 CflihUXI1DOJo
aJ96D1316(PJ 0J6101(m)o(a
)m) ca3 .jouflpjoff6
(a+b)(a-b)=a 2-b2
7.
= K1-i-2 (0)0))1(816)2
h1
lcal(mcoi'
+ (28.5 _4 . 65) 1 28.5 x 28.5 + 4.65 x 4.65
Do6l96)S c4J(0)JO(fl)o = 13 ((Do S6)5 (0)3 50. MMU905 QJJ(0)JD(fl)o 20
)1
(b)7.5 (c)10 (d) 12
(a)5
o6mg
=( =4.13-2.13 =2
=2
ECG
(1i +Ti) (1P3 -I2.13) a
0
(a+h) (a-h) = a1-
=4-2
3nCT
6.35x6.35x6.35-2.35x2.35x2.35 20. 6.135x6.35+(3.35x2.35+2.35x2.35
= 19 -4 x'48 = 1361 - 192 = 169 a-h='2169= 13
a='i b=4i3
1
a -1 +-
-
8.75x8.75x8.75+1.25x1.25x1.25 +1.25x1.25
(28.5+4.65)2
UoU?
a--
a-- 1 = Kioo?
6)6rnJcn6 O ce>Og ml
= 8.75 +1.25 =10
(a-b)2 = 2
6)S JW
-
= 113+2 = 18
a-2 +
(0T0))3(0?1
-
1 .9.8758775125
c0)1moco
= (a+b)(a-b) =a+b
(floo61JJ,6)S (0)
?
a2 + b2
UT112J06fl.
+fl) (-T)=
x1 + -i--2=16
u) 2 6m (ImfloJo
)cm (0J0)1011PJ060
(28.5-i-4.65)2-i-(28.5 _4,95)2 28.5 x 28.5+4.65 x 4.65 +
a'
(10o619,6)S (((2611) 120. (rUo6)iJJ0)S 0J(W60I336)S aD3e, 289.
(16 . 25 + 3 .85) 2 (16 .25_3 .85) 2
= (a+b)
a-
25.
fflD6Jo
16.25x 3.85
16.25x 8.25
(8.5- 3.75)=o=25 4.25,425-0.754.75 4,25-0.75
2xxxI=16
a--
1 -
22 + 2
=4+2
o6mg
(a)5
4)06fl).
42
=6
a-2'
ab= 90 =45
(a+b) 2 -(a-b) 2
a-2ah+b
(0I0))3(0?X +
-
=
I)
(TUo6)Jj
(a+b) 2 = 289 +240 = 529 a+b = 4529 = 23
6fl)"
6)S OJ6ffl60t336)S (1lj(0)J3 (10o (81aC1J10)6)S (0),06)S
J1m1(o?
i)(n)1c1eQzcm a=8. 75, b=3.75 2b=2x3.75=7.5
+
292262 = (28+26) (28-26) =54x2 =108 (11)o
106.
(a)23 (b)27 (c)16 (d)24 al) = 120
a1-b2 = (a-i-b) (a-b)
(010)
a'
w1a10
QJfl)(010)16X10
.,
281 262
LD (J16)s
=2
=
a'
24
49)sl(0?J
U1(t mo 8.75=a, 1.25=b axa-i-2xxb+bx b=a+2ab+b
1
x+I=K
-'
(fl)o61IJ3S
6l1)6086)S (IJJ(0)JO
(mo
-
60136)S C0)
LD Qi16)S
6,5=a,1.5=h 6simo axa-2xxb+bx b=a -2ab+b =(a-b)
-1=4
(810))0thl(
=45
60$(0T0) 6Qo
(0S
a-i-b
6rnmojo (a) 90 (b)45 (c) 180 (d) 80 a2 + b 2 = 106
(a+b) 2 +(a-b) 2 =2(a2+b2 )
8.75x8.75+2x8.75x 1.25+1.25 x
(a+b) (a-b)
flJ(Wo 16. (1)oQJJ6)S W
(0)JOffl)o (QJl6)S (0)Z
(a-b) 8 =a3-3a2b+3ab2 -b
= (8 .75+ 1.25) =10 =100 6.5x6.5-2x6.5x 1,5+1.5x 1.5
iL=-ia+b 27
a-b = 3
(a+h) =a +3a-h+,lah- +h'
(a+b)2-(a-h)2 = ab
=K
a-1 +--= K1-2
a2-b2 =(a+b) (a-b) im1mo 9992 - 9992 = (999+998) (999- 998) =19971 =1997 OS3(0) cruo6jl )36)S M6 06M @ 30S C1
(a+b)2+(a-b)2 =2
a-
22. a- +
9992_ 9982
(a-i-b) (a-b) =a2-b 2
Wk
Do6JJ&36iS
27. al(0? Q4(0)J3((Do
(a-
Q13(3)
3O6fl.
6113Ui
(o)a,
a'
(TDo6l9
alJ (mJom.( o 81.
a-?+_) =25- 2=23 a--
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