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a) 41. 36+ 59. 90 + 41. 84 + 59. 30
= 41 . (36 + 84) + 59 . (90 + 30)
= 41 . 120 + 59 . 120
= 120 . ( 41 + 59 )
= 120 . 100
= 12000
b) 4. 51 . 7 + 2 . 86 .7 + 6 . 4 . 7
= 28 . 51 + 2 . 43 . 2 . 7 + 6 . 4 . 7
= 28 . 51 + 28 . 43 + 28 . 6
= 28 . ( 51 + 43 + 6 )
= 28 . 100
= 2800
c) ( 4.7 ) . 5 + ( 4.7 ) . 43 + ( 4.7) - 6
= 28 . 5 + 28 .43 + 28 - 6
= 28 . (5 + 43 + 1) - 6
= 28 . 49 - 6
= 1372 - 6
= 1366.
d) 53 . 39 + 47 . 39 - 53 . 21 - 47 . 21
= 53 . (39 - 21) + 47. (39 - 21)
= (39 - 21) . ( 53 + 47 )
= 18 . 100
= 1800.
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\(43\cdot59+57\cdot59-43\cdot21-57\cdot21\)
\(=59\left(43+57\right)-21\left(43+57\right)\)
\(=3800\)
=59.(43+57)-21.(43+57)
=59.100-21.100
=100.(59-21)
=100.38
=3800
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\(\left(3x-9\right)^{59}.\left(5x-75\right)^{86}=0\)
\(\Leftrightarrow\orbr{\begin{cases}\left(3x-9\right)^{59}=0\\\left(5x-75\right)^{86}=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}3x-9=0\\5x-75=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}3x=9\\5x=75\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=3\\x=25\end{cases}}\)
Vậy ...
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41 x 36 + 59 x 90 + 41 x 84 + 59 x 30
= 41 x (36 + 84) + 59 x ( 90 + 30 )
= 41 x 120 + 59 x 120
= 120 x ( 41 + 59 )
= 120 x 100
= 12000
4 x 51 x 7 + 2 x 86 x 7 + 12 x 2 x 7
= 7 x ( 51 x 4 + 86 x 2 + 12 x 2 )
= 7 x ( 204 + 172 + 24 )
= 7 x 400
=2800
41x 36 +59 x 90 +41 x84 +59 x 30
=41x (36+84) +59 x (90+30)
=41 x 120 + 59x 120
=120 x (41+59)
=120x 100
=12000
4x 51 x 7 + 2 x 86 x 7 + 12 x 2 x 7
=7x (51 x 4 + 86 x 2 - 12 x 2 )
=7x ( 204+ 172 + 24 )
= 7x 400
=2800
![](https://rs.olm.vn/images/avt/0.png?1311)
Câu 2:
a: x-158=32
=>x=158+32
=>x=190
b: \(x\cdot24=264\)
=>\(x=\dfrac{264}{24}\)
=>x=11
c: \(6x+9=3^7:3^4\)
=>\(6x+9=3^3\)
=>6x+9=27
=>6x=18
=>x=18/6=3
Câu 1:
a: \(86\cdot19+14\cdot19\)
\(=19\left(86+14\right)\)
\(=19\cdot100=1900\)
b: \(4\cdot\left(-5\right)^2-104\cdot\left(-5\right)^2\)
\(=4\cdot25-104\cdot25\)
\(=25\left(4-104\right)=-100\cdot25=-2500\)
c: \(7\cdot\left(-2\right)\cdot8\left(-5\right)\)
\(=7\cdot2\cdot8\cdot5\)
\(=56\cdot10=560\)
d: \(59-\left[59+\left(-76\right)\right]\)
\(=59-59+76\)
=76
86*21-86*59+86*59-59*21=21(86-59)=21*27=467
86 . ( 21 - 59 ) + 59 . ( 86 - 21 )
= ( 86 - 86 ) . ( 59 - 59 ) . ( 21 - 21 )
= 0 . 0 . 0
= 0