(-x-3)^3+(x+9)(x^2+27)+19
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a) 3 x X x 2/3 = 4/5
3.x=6/5
x=2/5
b) 3,94 x 18,24 + 18,24 x 3,72 + 18,24 x 2,34
=18,24(3,94+3,72+2,34)
=18,24.10
=182,4
d) 8/19 x 2/7 + 8/19 x 1/7 + 8/19 x 4/7
=8/19(2/7+1/7+4/7)
=8/19.1
=8/19
![](https://rs.olm.vn/images/avt/0.png?1311)
2: \(=\dfrac{-2}{75}+\dfrac{5}{39}=\dfrac{33}{325}\)
3: \(=\dfrac{6}{11}\left(\dfrac{4}{9}+\dfrac{5}{9}\right)=\dfrac{6}{11}\)
4: \(=\dfrac{7}{19}\left(\dfrac{5}{13}+\dfrac{8}{13}-1\right)=-2\cdot\dfrac{7}{19}=-\dfrac{14}{19}\)
5: \(=\dfrac{2}{7}\left(\dfrac{4}{23}-\dfrac{27}{23}+1\right)=0\)
6: \(=\dfrac{3}{8}\left(\dfrac{3}{7}+\dfrac{4}{7}\right)+\dfrac{11}{8}=\dfrac{3}{8}+\dfrac{11}{8}=\dfrac{14}{8}=\dfrac{7}{4}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1. 3x - 9 = (-1) - x
=> 3x + x = (-1) + 9
=> 4x = 8
=> x = 8 : 4
=> x = 2
2. 2x - 23 = 17 - 3x
=> 2x - 8 = 17 - 3x
=> 2x + 3x = 17 + 8
=> 5x = 25
=> x = 25 : 5
=> x = 5
3. |x - 3| + 8 = 12
=> |x - 3| = 12 - 8
=> |x - 3| = 4
=> \(\orbr{\begin{cases}x-3=4\\x-3=-4\end{cases}}\)
=> \(\orbr{\begin{cases}x=4+3\\x=-4+3\end{cases}}\)
=> \(\orbr{\begin{cases}x=7\\x=-1\end{cases}}\)
4. 12 - 2|x| = |-2012|
=> 12 - 2|x| = 2012
=> 2|x| = 12 - 2012
=> 2|x| = -2000
=> |x| = -2000 : 2
=> |x| = -1000
=> x không có số nào thỏa mãn
5. 19 - (14 + 19) = x - (27 - 9)
=> 19 - 14 - 19 = x - 18
=> -14 = x - 18
=> x - 18 = -14
=> x = -14 + 18
=> x = 4
6. 15 - |x - 3| = 2
=> |x - 3| = 15 - 2
=> |x - 3| = 13
=> \(\orbr{\begin{cases}x-3=13\\x-3=-13\end{cases}}\)
=> \(\orbr{\begin{cases}x=13+3\\x=-13+3\end{cases}}\)
=> \(\orbr{\begin{cases}x=16\\x=10\end{cases}}\)
7. |x - 5| - 27 = -6
=> |x - 5| = -6 + 27
=> |x - 5| = 21
=> \(\orbr{\begin{cases}x-5=21\\x-5=-21\end{cases}}\)
=> \(\orbr{\begin{cases}x=21+5\\x=-21+5\end{cases}}\)
=> \(\orbr{\begin{cases}x=26\\x=-16\end{cases}}\)
8. 3 . |x - 2| = |-15|
=> 3 . |x - 2| = 15
=> |x - 2| = 15 : 3
=> |x - 2| = 5
=> \(\orbr{\begin{cases}x-2=5\\x-2=-5\end{cases}}\)
=> \(\orbr{\begin{cases}x=5+2\\x=-5+2\end{cases}}\)
=> \(\orbr{\begin{cases}x=7\\x=-3\end{cases}}\)
9. 11 - 2|x| = -3
=> 2|x| = 11 - (-3)
=> 2|x| = 14
=> |x| = 14 : 2
=> |x| = 7
=> \(\orbr{\begin{cases}x=7\\x=-7\end{cases}}\)
10.|x - 2| = 1
=> \(\orbr{\begin{cases}x-2=1\\x-2=-1\end{cases}}\)
=> \(\orbr{\begin{cases}x=1+2\\x=-1+2\end{cases}}\)
=> \(\orbr{\begin{cases}x=3\\x=1\end{cases}}\)
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Tử số= 2^19.9^3.3^3 + 5.3.2^9.2^9.9^4
= 2^19.9^3.3^3 + 5.3.2^18.9.9^3
= 2^19.9^3.3.3^2 + 5.3.2^18.3^2.9^3
= 2^18.9^3.3^2(2 + 5.) (đặt nhân tử chung)
=7.2^18.9^3.3^2
=7.2^18.9.9.9.3^2
=7.2^18.3^2.3^2.3^2.3^2
=7.2^18.3^8
Mẫu số= 6^9.2^10 + 6^10.2^10
= 6^9.2^10 + 6^10.2^10
=6^9.2^10(1+6)
=7.6^9.2^10.
=7.2^9.3^9.2^10
=7.2^19.3^9
Lấy tử số chia mẫu số ta được : 1/2.3 = 1/6
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a) \(x+546=46\\ x=46-546\\ x=-500\)
b) \(2x-19\times3=27\\ 2x-57=27\\ 2x=27+57\\ 2x=84\\ x=84:2\\ x=42\)
c) \(x+12=23+3\times3^4\\ x+12=23+3\times81\\ x=23+243-12\\ x=254\)
d) \(x-12=3-3\times2^4\\ x-12=3-3\times16\\ x=3-48+12\\ x=-33\)
e) \(\left(27-x\right)\left(x+9\right)=0\\ \Rightarrow\left[{}\begin{matrix}27-x=0\\x+9=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=27\\x=-9\end{matrix}\right.\)
f) \(\left(-x\right)\left(x-43\right)=0\\ \Rightarrow\left[{}\begin{matrix}-x=0\\x-43=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=0\\x=43\end{matrix}\right.\)
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6)
(19-x)-46=-12
19-x=-12+46
19-x=34
x=19-34
x=-15
7)=>x-2=0
x=0+2
x=2
8)=>5-x=2
x=5-2
x=3
9) đề thiếu
10)=>x+1=9
x=9-4
x=8
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B= {[ 5 * (2^2)^15 * (3^2)^9 ] - [ (2^2) * 3^20 * (2^3)^9 ]} / {[ 5 * (2^9) * (2^19)*(3^19) ] - [ 7 * (2^29) * (3^3)^6 ]}
B= {[ 5 * (2^30) * (3^18) ] - [ (3^20) * (2^29) ]} / {[ 5 * (2^28) * (3^19) ] - [ 7 * (2^29) * (3^18) ]}
B= {[ (2^29) * (3^18) ] * [(5 * 2) - 3^2 ]} / {[ (2^28) * (3^18) ] - [(5 * 3) - (7 * 2)] }
B= [ (2^29) * (3^18) ] / [ (2^28) * (3^18) ]
B= [ (2^1) * (2^28) * (3^18) ] / [ (2^28) * (3^18) ]
B = 2
dấu * là dấu nhân
B= {[ 5 * (2^2)^15 * (3^2)^9 ] - [ (2^2) * 3^20 * (2^3)^9 ]} / {[ 5 * (2^9) * (2^19)*(3^19) ] - [ 7 * (2^29) * (3^3)^6 ]}
B= {[ 5 * (2^30) * (3^18) ] - [ (3^20) * (2^29) ]} / {[ 5 * (2^28) * (3^19) ] - [ 7 * (2^29) * (3^18) ]}
B= {[ (2^29) * (3^18) ] * [(5 * 2) - 3^2 ]} / {[ (2^28) * (3^18) ] - [(5 * 3) - (7 * 2)] }
B= [ (2^29) * (3^18) ] / [ (2^28) * (3^18) ]
B= [ (2^1) * (2^28) * (3^18) ] / [ (2^28) * (3^18) ]
B = 2
dấu * là dấu nhân
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a)\(=\dfrac{3}{3}+\dfrac{4}{3}=\dfrac{7}{3}\)
b)\(=\dfrac{5}{9}\times\dfrac{3}{2}=\dfrac{15}{18}=\dfrac{5}{6}\)
d)\(=\left(\dfrac{12}{8}-\dfrac{3}{8}\right)\times2=\dfrac{9}{8}\times2=\dfrac{18}{8}=\dfrac{9}{4}\)
c)\(=\dfrac{4}{3}-\dfrac{5}{6}=\dfrac{8}{6}-\dfrac{5}{6}=\dfrac{3}{6}=\dfrac{1}{2}\)
a) 1 + 4/3 = 7/3
b) 5/9 : 2/3 = 5/6
c ) 4/3 -1/3 x 5/2
= 1 x 5/2
= 5/2
d) ( 3/2 - 3/8) : 1/2
= 9/8 : 1/2
= 9/4
e) 15/16 : 3/8 x 3/4
= 5/2 x 3/4
= 15/8
f) 7/19 x 1/3 x 7/19 x 2/3
= 7/19 x (1/3 x 2/3)
= 7/19 x 2/9
= 14/171
g) 3/5 x 8/27 x 25/3
= 3/5 x 25/3 x 8/27
= 5 x 8/27
= 40/27
h) 1/5 + 4/11 + 4/5 + 7/11
= (1/5 + 4/5) + (4/11 + 7/11)
= 1 + 1
= 2
đề là gì vậy