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a, (231+69)*(28+72)
=300*100
=30000
c,đặt A=1+2+2^2+2^3+......+2^99+2^100
2A=2+2^2+2^3+2^4+......+2^100+2^101
2A-A=2^101-1
A=2^101-1/2
d,đặt S=5+5^3+5^5+.......+5^97+5^99
5^2S=5^3+5^5+5^7+.....+5^99+5^101
25S-S=5^101-5
24S=5^101-5
S=5^101-5/24
1) 12.2.25+29.25+59.25
=24.25+29.25+59.25
=25(24+29+59)
=25.112
=2800
2) 25.(231+69)+72.(231+69)
=25.300+72.300
=300(25+72)
=300.97
=29100
3) 39.(250+87)+64.(240+97)
=39.337+64.337
=337.(39+64)
=337.103
=34711
4) 36.28+36.82+64.69+64.41
=36.(28+82)+64.(69+41)
=36.110+64.110
=110(36+64)
=110.100
=11000
1) 12 x 2 x 25 + 29 x 25 + 59 x 25
= 24 x 25 + 29 x 25 + 59 x 25
= 25 x ( 24 + 29 + 59 )
= 25 x 112
= 2800
2) 25 x ( 231 + 69 ) + 72 x ( 231 + 69 )
= 25 x 300 + 72 x 300
= ( 25 + 72 ) x 300
= 29100
3)39 x ( 250 + 87 ) + 64 x ( 240 + 97 )
= 39 x 337 + 64 x 337
= ( 39 + 64 ) x 337
= 103 x 337
= 34711
tính nhanh
1) 12.2.25+29.25+59.25
2) 25.(231+69)+72.(231+69)
3) 39.(250+87)+64.(240+97)
4) 36.28+36.82+64.69+64.41
1) 12 x 2 x 25 + 29 x 25 + 59 x 25
= 24 x 25 + 29 x 25 + 59 x 25
= 25 x ( 24 + 29 + 59 )
= 25 x 112
= 2800
2) 25 x ( 231 + 69 ) + 72 x ( 231 + 69 )
= 25 x 300 + 72 x 300
= ( 25 + 72 ) x 300
= 29100
3)39 x ( 250 + 87 ) + 64 x ( 240 + 97 )
= 39 x 337 + 64 x 337
= ( 39 + 64 ) x 337
= 103 x 337
= 34711
123-5.(x+4)=38
5(x+4)=123-38
5(x+4)=85
x+4=85:5
x+4=17
x=17-4
x=13
10+2x=2.(32-1)
10+2x=2.(9-1)
10+2x=2.8
2x=16-10
2x=6
x=6:2
x=3
2.x-138=23.32
2.x-138=72
2.x=72+138
2.x=210
x=210:2
x=105
[102+(28-2x)]:20-5=1
(102+28-2x):20=6
130-2x=120
2x=130-120
2x=10
x=10:2
x=5
231-(x-6)=1339:13
231-(x-6)=103
x-6=231-103
x-6=128
x=128+6
x=134
123-5.(x+4)=38
5.(x+4)=123-38
5.(x+4)=85
(x+4)=85/5
x+4=17
x=17-4
x=13
a) 13.(23+22)-3.(17+28)
= 13.45 - 3.45
= 45(13-3)
= 45.10 =450
b) -48+48.(-78)+48(-21)
= -48 + 48(-78 - 21)
= -48 + 48.(-99)
= -48 + ( -4752)
= -4800
c) 135.(171-123)-171.(135-123)
= 135.171 - 135.123 - 171.135 + 171.123
= (135.171 - 171.135) - (135.123 - 171.123)
= - 123(135 - 171) = (-123).(-36)= 4428