Tính nhanh lớp 8:
a, 85^2 - 15^2
b, 93^3 + 21 x 93^2 + 3 x 49 x 93 + 343
c, 73^2 - 13^2 - 10^2 + 20 x 13
d, 97^3 + 83^3/180 - 97 x 83
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a) \(85^2-15^2=\left(85-15\right)\left(85+15\right)=70.100=7000\)
c) \(73^2-13^2-10^2+20.13\)
\(=73^2-\left(13^2+10^2-20.13\right)\)
\(=73^2-\left(13^2-2.13.10+10^2\right)\)
\(=73^2-\left(13-10\right)^2\)
\(=73^2-3^2\)
\(=\left(73-3\right)\left(73+3\right)\)
\(=70.76\)
\(=5320\)
d)Viết đề = công thức trực quan hộ mình
1. -86 + ( -14)
= -86 - 14
= -100
2. 123 + ( -36)
= 123 - 36
= 87
3. ( -44) - ( -66)
= -44 + 66
= 22
4. -82 + (-28)
= -82 - 28
= -110
5. 83 + ( -17)
= 83 - 17
= 66
Các bài khác làm tương tự nha bạn
1/ (-86)+(-14)=-86-14=-100
2/123+(-36)=123-36=87
3/(-44)-(-66)=-44+66=22
4/-82+(-28)=-82-28=-110
5/83+(-17)=83-17=66
6/(-83)-33=(-83)+(-33)=-116
7/ 73+(-24)=73-24=49
8/84+(-48)=84-48=36
9/-72-82=-72+(-82)=-154
10/-97-82=-97+(-82)=-179
11/19+(-92)=19-92=-73
12/38-28=10
13/13+(-27)=13-27=-14
14/-85+29=-85-(-29)=-114
15/-84-(-27)=-84+27=-57
16/-23+78=-23-(-78)=-101
17/93+(-29)=93-29=64
18/-74-83=-74+(-83)=-157
19/-183+83=-183-(-83)=-266
20/849-(-3832)=849+3832=4681
Có gì sai mong bạn sửa giúp mình nhé!
A = 4 . 2 . 25 . 5 . 175
A = 22 . 2 . 52 . 5 . 52 . 7
A = 22+1 . 52+1+2 . 7
A = 23 . 55 .7
A = 175000
\(B=4^2-10^4:\left(50\cdot273-50\cdot73\right)\)
\(B=4^2-10^4:\left[50\cdot\left(273-73\right)\right]\)
\(B=4^2-10^4:\left(50\cdot200\right)\)
\(B=4^2-10^4:10^4=4^2-1=15\)
\(C=3\times53\times6+2\times9\times87-18\times40\)
\(C=18\times53+18\times87-18\times40\)
\(C=18\times\left(53+87-40\right)\)
\(C=18\times100=1800\)
10) \(\frac{x+14}{86}+\frac{x+15}{85}+\frac{x+16}{84}+\frac{x+17}{83}+\frac{x+116}{4}=0\)
\(\Leftrightarrow\)\(\frac{x+14}{86}+1+\frac{x+15}{85}+1+\frac{x+16}{84}+1+\frac{x+17}{83}+1+\frac{x+116}{4}-4=0\)
\(\Leftrightarrow\)\(\frac{x+100}{86}+\frac{x+100}{85}+\frac{x+100}{84}+\frac{x+100}{83}+\frac{x+100}{4}=0\)
\(\Leftrightarrow\)\(\left(x+100\right)\left(\frac{1}{86}+\frac{1}{85}+\frac{1}{84}+\frac{1}{83}+\frac{1}{4}\right)=0\)
\(\Leftrightarrow\)\(x+100=0\) (vì 1/86 + 1/85 + 1/84 + 1/83 + 1/4 \(\ne\)0)
\(\Leftrightarrow\)\(x=-100\)
Vậy....
Bài 1: 74+(-93)+2014+(-7)+26
=(74+26)+[-93+(-7)]+2014
=100+(-100)+2014=2014
Bài 2:
15+2|x|=97
2|x|=97-15=82
|x|=82:2=41
Suy ra: x=41; x=-41
Bài 3:
Ta có: A=3+3^2+3^3+3^4+3^5+..+3^19+3^20+3^21
=(3+3^2+3^3)+(3^4+3^5+3^6)+...+(3^19+3^20+3^21)
=3.(1+3+3^2)+3^3.(1+3+3^2)+...+3^18.(1+3+3^2)
=3.13+3^3.13+...+3^18.13
=13.(1+3^3+..+3^18) (chia hết cho 13)
Vậy A chia hết cho 13
a)17-(12+13)
=17-25
=-8
b)2347-450-347-550
=(2347-347)-(450+550)
=2000-1000
=1000
c)(-71).(-175)-75.71
=71.(175-75)
=71.100
=7100
d)93.(27-100)+(-3)^3.93
=93.(27-100)+(-27).93
=93.((-27)+(-73))
=93.(-100)
=-9300
bài 2 :
a)x-15=-20
x=-20+15
x=-5
b)3x+27=6
3x=6-27
3x=-21
x=-21:3
x=-7
c)3.(x-1)+27=102
3.(x-1)=102-27
3.(x-1)=75
x-1=75:3
x-1=25
x=25+1
x=26
d)|x-6|.7-(-2)^2=-8+39
sory ,câu này mk ko làm đc
a) Ta có: \(85^2-15^2\)
\(=\left(85-15\right)\left(85+15\right)\)
\(=70\cdot100=7000\)
b) Ta có: \(93^3+21\cdot93^2+3\cdot49\cdot93+343\)
\(=93^3+3\cdot93^2\cdot7+3\cdot93+7^2+7^3\)
\(=\left(93+7\right)^3\)
\(=100^3=1000000\)
c) Ta có: \(73^2-13^2-10^2+20\cdot13\)
\(=73^2-\left(13^2+10^2-20\cdot13\right)\)
\(=73^2-\left(13^2-2\cdot13\cdot10+10^2\right)\)
\(=73^2-\left(13-10\right)^2\)
\(=73^2-3^2=\left(73-3\right)\left(73+3\right)\)
\(=70\cdot76=5320\)
a) \(85^2-15^2=\left(85-15\right)\left(85+15\right)=70.100=7000\)
b) \(93^3+21.93^2+3.49.93+343\)
\(=93^3+3.7.93^2+3.7^2.93+7^3\)
\(=\left(93+7\right)^3\)
\(=100^3=1000000\)
c) \(73^2-13^2-10^2+20.13\)
\(=73^2-\left(13^2+10^2-20.13\right)\)
\(=73^2-\left(13-10\right)^2\)
\(=73^2-3^2\)
\(=\left(73+3\right)\left(73-3\right)\)
\(=76.70=5320\)
d) Viết = Latex hộ mình