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\(69x113-27x69+69x14+31\)
\(=69x\left(113-27+14+31\right)\)
\(=69x131\)
\(=9039\)
69 x 113 - 27 x 69 +69 x 14 +31
=69 x ( 113 - 27 + 14 ) +31
= 69 x 72 + 31
= 4968 + 31
= 4999
![](https://rs.olm.vn/images/avt/0.png?1311)
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)\(31-\left(17+x\right)=55\)
\(\Rightarrow17+x=-24\)
\(\Rightarrow x=-41\)
![](https://rs.olm.vn/images/avt/0.png?1311)
-71 + 69 - X + 14 = 69 + 14
-71 +69 - X + 14 = 73
69 - X + 14 = 73 + 71
69 - X + 14 = 144
- X + 14 = 144 - 69
- X +14 = 75
- X = 75 - 14
- X = 61
Vậy X = - 61
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3118 + 31 x 82 + 69 x 22 + 69 + 78
=3118+31x82+70x22+78
=3118+ 2542+1540+78
= 5660+1540+78
=7200+78
=7278
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 6: Thực hiện phép tính
a)(-18)-(-3)-12
= (-18) + 3 - 12
= (-15) - 12
= - 3
b)85.(35-27)-35.(85-27)
= 85. 8 - 35. 58
= 680. 2030
= 1380400
c)(-45).69+31.(-45)
= (-45) . (69 + 31)
= (-45) . 100
= - 4500
Bài 7:Tìm x thuộc Z, biết:
a)(2-x)+10=-14
2-x = 14 - 10
2-x = 4
x = 2 - 4
x = - 2
b)14.|x|=28
|x| = 28 : 14
|x| = 2
⇒ x ϵ {2;-2}
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1;
31.(45+69)+69.(45-31)
=31.45+69.31+69.45-69.31
=45.(69+31)+(69.31-69.31)
=45.100+0
=4500
2;
A=2x+3y+9x+8y
=>A=x.(2+9)+y.(8+3)
=>A=11x+11y
=>A=11.(x+y)mà x+y =10
=>A=11.10
=>A=110
Bài 1 .
31 . ( 45 + 69 ) + 69 . ( 45 - 31 )
= 31 . 45 + 69 . 31 + 69 . 45 - 69 . 31
= 45 . ( 69 + 31 ) + ( 69 . 31 - 69 . 31 )
= 45 . 100 + 0
= 4500
Bài 2 .
Ta có : A = 2x + 3y + 9x + 8y
\(\Rightarrow\) A = x . ( 2 + 9 ) + y . ( 3 + 8)
\(\Rightarrow\) A = 11x + 11y . Mà x + y = 10 nên :
\(\Rightarrow\) A = 11 . 10
\(\Rightarrow\) A = 110
Vậy A = 110
56 . Tính nhanh :
a ) 2 x 31 x 12 + 4 x 6 x 42 + 8 x 27 x 3
b ) 36 x 28 + 36 x 82 + 64 x 69 + 64 x 41
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 2 x 31 x 12 + 4 x 6 x 42 + 8 x 27 x 3
= 24 x 31 + 24 x 42 + 24 x 27
= 21 x ( 31 + 42 + 27)
= 21 x 100
= 2100
b) 36 x 28 + 36 x 82 + 64 x 69 + 64 x 41
= 36 x ( 28 + 82) + 64 x ( 69 + 41)
= 36 x 110 + 64 x 110
= 110 x ( 36 + 64)
= 110 x 100
= 11000
= 69 x ( 113 - 27 + 14 ) + 31
= 69 x 100 +31
= 6900 + 31
=6931
=69x(113-27+14)+31
=69x100+31
=6900+31
=6931