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\(159\left(18-59\right)-59\left(19-159\right)\)
\(=159.\left(-41\right)-59.\left(-140\right)\)
\(=-6519-\left(-8260\right)\)
\(=1741\)
\(159.\left(15-59\right)-59.\left(19-159\right)\)
\(=159.15-159.59-59.19+59.159\)
\(=159.15-59.19=1264\)

a, (18+29) +(158-18-29)
= 18+29+158-18-29
= (18-18) +(29-29)+ 158
= 158
b, (13-135+49)- (13+49)
= 13-135+49-13-49
= (13-13) +(49-49) -135
= 135
a, \(\left(18+29\right)+\left(158-18-29\right)\)
\(=18+29+158-18-29\)
\(=\left(18-18\right)+\left(29-29\right)+158\)
\(=158\)
b,
\(\left(13-135+49\right)-\left(13+49\right)\)
\(=13-135+49-13-49\)
= \(\left(13-13\right)+\left(49-49\right)-135\)
= \(-135\)

\(\left(x-1\right)⋮\left(x+5\right)\)
\(\Rightarrow\left[\left(x+5\right)-6\right]⋮\left(x+5\right)\) mà \(\left(x+5\right)⋮\left(x+5\right)\)
\(\Rightarrow6⋮\left(x+5\right)\)
\(\Rightarrow\left(x+5\right)\in\left\{1;2;3;6;-1;-2;-3;-6\right\}\)
\(\Rightarrow x\in\left\{6;7;8;11;4;3;2;-1\right\}\)

\(a\)) \(\left|-8\right|-\left|-4\right|=8-4=4\)
\(b\)) \(\left|-7\right|.\left|-3\right|=7.3=31\)
\(c\))\(\left|18\right|:\left|-6\right|=18:6=3\)
\(d\))\(\left|153\right|+\left|-53\right|=153+53=206\)
a, | -8 | - | -4 | = 8 - 4 = 4
b, | -7 | . | -3 | = 7 . 3 = 21
c, | 18 | : | -6 | = 18 : 6 = 3
d, | 153 | + | -53 | = 153 + 53 = 206

(2\(x\) - 3).(y + 5) = 20
20 = 2\(^2.5\)
Ư(20) = {-20;-10;-5; -4; -2; -1; 1;2; 4; 5; 10; 20}
Lập bảng ta có:
2\(x\)-3 | -20 | -10 | -5 | -4 | -2 | -1 | 1 | 2 | 4 | 5 | 10 | 20 |
\(x\) | -\(\frac{17}{2}\) | -\(\frac72\) | -1 | -\(\frac12\) | \(\frac12\) | 1 | 2 | \(\frac52\) | \(\frac72\) | 4 | \(\frac{13}{2}\) | \(\frac{23}{2}\) |
y+5 | -1 | -2 | -4 | -5 | -10 | -20 | 20 | 10 | 5 | 4 | 2 | 1 |
y | -6 | -7 | -9 | -10 | -5 | -25 | 15 | 5 | 0 | -1 | -3 | -4 |
\(x;y\) ∈Z | ktm | ktm | tm | ktm | ktm | tm | tm | ktm | ktm | tm | ktm | ktm |
Theo bảng trên ta có: (\(x;y\)) = (-1; -9); (1; -25); (2; 15); (4; -1);
Vậy các cặp (\(x;y\)) thỏa mãn đề bài là:
( \(x;y\)) = (-1; -9); (1; -25); (2; 15); (4; -1)

7)\(\dfrac{-19}{34}\left(\dfrac{17}{19}+\dfrac{49}{18}\right)+\dfrac{49}{18}\left(\dfrac{19}{34}-\dfrac{18}{7}\right)\)
=\(\dfrac{-19}{34}.\dfrac{17}{19}+\dfrac{49}{18}.\dfrac{-19}{34}+\dfrac{49}{18}.\dfrac{19}{34}-\dfrac{18}{7}.\dfrac{49}{18}\)
=\(\dfrac{1}{2}+\left(\dfrac{49}{18}.\dfrac{-19}{34}+\dfrac{49}{18}.\dfrac{19}{34}\right)-7\)
=\(\dfrac{1}{2}+\left[\dfrac{49}{18}\left(\dfrac{-19}{34}+\dfrac{19}{34}\right)\right]-7\)
=\(\dfrac{1}{2}+0-7=\dfrac{-13}{2}\)
8)\(\dfrac{29}{32}\left(\dfrac{41}{36}-\dfrac{32}{58}\right)-\dfrac{41}{36}\left(\dfrac{29}{32}+\dfrac{18}{41}\right)\)
=\(\dfrac{29}{32}.\dfrac{41}{36}-\dfrac{29}{32}.\dfrac{32}{58}-\dfrac{41}{36}.\dfrac{29}{32}+\dfrac{18}{41}.\dfrac{41}{36}\)
=\(\left(\dfrac{29}{32}.\dfrac{41}{36}-\dfrac{41}{36}\dfrac{29}{32}\right)-\dfrac{29}{32}.\dfrac{32}{58}+\dfrac{18}{41}.\dfrac{41}{36}\)
=\(0-\dfrac{1}{2}+\dfrac{1}{2}=0\)

a) (-73) + 0
= -73
b) |-18| + (-12)
= 18 + (-12)
= 18 - 12
= 6
c) 102 + (-120)
= - (120 - 102)
= -18
a) (−73)+0= -73
b)|−18|+(−12)= 18-12= 6
c) 102+(−120)= -(120-102)= -18
tính nhanh hay bình thường
Nhanh