thực hiện phép tính sau
a)12 x 35 + 35 x 182 - 35 x 94
b) 17 x 93 +116 x 83 +17 x 23
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35 x 217 - 17 x 35 + 4^2 x 4
= 35( 217 - 17) + 16 x 4
= 35 . 200 + 64
= 7000 +64
= 7064
35 x 217 - 17 x 35 + 42 x 4
= 35 x 217 - 17 x 35 + 4 x 4 x 4
= 35 x ( 217 - 17 ) + 16 x 4
= 35 x 200 + 64
= 7000 +64
= 7064
35 x 25 x 7 x 8 = 49 000
74 x 8 x 12 x 14 = 99 456
_HT_
Bài 6:
a)\(\left(-18\right)-\left(-3\right)-12\)
\(=\left(-18\right)+3-12\)
\(=-15-12\)
\(=-27\)
b)\(85.\left(35-27\right)-35.\left(85-27\right)\)
\(=85.35-85.27-35.85+35.27\)
\(=85.\left(35-27-35\right)+35.27\)
\(=85.\left(-27\right)+35.27\)
\(=27.\left(-85+35\right)\)
\(=27.\left(-50\right)\)
\(=-1350\)
c)\(\left(-45\right).69+31.\left(-45\right)\)
\(=\left(-45\right).\left(69+31\right)\)
\(=\left(-45\right).100\)
\(=-4500\)
Bài 7:
a)\(\left(2-x\right)+10=-14\)
\(\Rightarrow2-x=-24\)
\(\Rightarrow x=26\)
b)\(14.\left|x\right|=28\)
\(\Rightarrow\left|x\right|=2\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=-2\end{cases}}\)
c)\(31-\left(17+x\right)=55\)
\(\Rightarrow17+x=-24\)
\(\Rightarrow x=-41\)
7) \(\frac{x+25}{75}+\frac{x+30}{70}=\frac{x+35}{65}+\frac{x+40}{60}\)
\(\Leftrightarrow\)\(\frac{x+25}{75}+1+\frac{x+30}{70}+1=\frac{x+36}{65}+1+\frac{x+40}{60}+1\)
\(\Leftrightarrow\)\(\frac{x+100}{75}+\frac{x+100}{70}=\frac{x+100}{65}+\frac{x+100}{60}\)
\(\Leftrightarrow\)\(\left(x+100\right)\left(\frac{1}{75}+\frac{1}{70}-\frac{1}{65}-\frac{1}{60}\right)=0\)
\(\Leftrightarrow\)\(x+100=0\) (vì 1/75 + 1/70 - 1/65 - 1/60 \(\ne\)0)
\(\Leftrightarrow\)\(x=-100\)
Vậy.....
7) \(\frac{x+25}{75}+\frac{x+30}{70}=\frac{x+35}{65}+\frac{x+40}{60}\)
\(\Leftrightarrow\)\(\frac{x+25}{75}+1+\frac{x+30}{70}+1=\frac{x+35}{65}+1+\frac{x+40}{60}+1\)
\(\Leftrightarrow\)\(\frac{x+100}{75}+\frac{x+100}{70}=\frac{x+100}{65}+\frac{x+100}{60}\)
\(\Leftrightarrow\)\(\left(x+100\right)\left(\frac{1}{75}+\frac{1}{70}-\frac{1}{65}-\frac{1}{60}\right)=0\)
\(\Leftrightarrow\)\(x+100=0\) (1/75 + 1/70 - 1/65 - 1/60 \(\ne\)0)
\(\Leftrightarrow\)\(x=-100\)
Vậy...
1, ( - 12 ) - ( 13 - x ) = - 15 - ( - 17 )
=> - 12 - 13 + x = - 15 + 17
=> - 25 + x = 2
=> x = 2 + 25
=> x = 27
2, 305 - x + 14 = 48 + ( x - 23 )
=> 305 - x + 14 = 48 + x - 23
=> x + x = 305 + 14 - 48 + 23
=> 2x = 294
=> x = 147
3, - ( x - 6 + 85 ) = ( x + 51 ) - 54
=> - x + 6 - 85 = x + 51 - 54
=> x + x = 6 - 85 - 51 + 54
=> 2x = - 76
=> x = - 38
4, - ( 35 - x ) - ( 37 - x ) = 33 - x
=> - 35 + x - 37 + x = 33 - x
=> x + x + x = 33 + 35 + 37
=> 3x = 105
=> x = 35
a, 12 x 35 +35 x 182- 35 x 94
= 35 x ( 12 + 182 - 94 )
= 35 x 100
= 3500
b, 17 x 93 + 116 x 83 + 17 x 23
= 17 x ( 93 +23 ) + 116 x 83
= 17 x 116 + 116 x 83
= 116 x ( 83+17)
= 116 x 100
= 11600