a: =25x100-150=2500-150=2350

c: \(=520:\left\{515\cdot25\right\}\)

=104/2575

a, (-72).(15 - 49) + 15.(-56 + 72)

= -72 . 15 + 72.49  - 15.56 + 15.72

= (-72.15 + 15.72) + (72.49  - 15.56)

= 3528 - 84

= 2688

1b, 1532 + (-186) + (-1432) + (-14) + 123

= (1532 - 1432) - (186 + 14) + 123

= 100 - 200 + 123

= 223 - 200

= 23 

43.(53 - 81) + 53.(81 - 43)

= 43.53 - 81.43 + 53.81 - 53.43

= (43.53 - 53.43) + (81.53 - 81.43)

= 0 + 81.(53-43)

= 81.10

= 810

a) 180

b) 90

c)  2887

d) 51

k nhá

d)  |31-17| - |15-52|

= |14| - |-37|

= 14 - 37

= -23

b ) 136 -(-7) +6- 23 -36

= 136 + 7 + 6 - 23 - 36

= 143 + 6 - 23 - 36

= 149 - 23 - 36

= 90

1) (-6 - 2) . (-6 + 2) = -8 . (-4) = 32
2) 627 + 125 + (-627) + |-46| -21 = 125 + 46 - 21 = 150
3) (-25) + 30 + (-16) + 25 + (-4) = 30 + (-20) = 10
4) 75 - 5.(15 - 40) - (-60) = 75 - 75 + 80 + 60 = 140
5) |31 - 17| - |15 - 52| = |14| - |-37| = 14 - 37 = -23
6) 13 - 18 - (-42) - 15 = 13 - 18 + 42 - 15 = 22
3 bài sau hết kiên nhẫn rồi, thông cảm nhé.

7) 369.4.[(- 5) + 4. (-8) ]

=  1476 . [(-5) + (-32)]

=  1476 . -37

=  -54612

8)  + 8

=  8 + 8

= 16
9) 72 : (-6 . 2 + 4)

= 72 : (-12 + 4)

= 72 : (-8)

= -9

a: =-79+47+52-20

=99-99

=0

b: \(=67-19-48-15=-15\)

c: \(=\left(-8\right)\cdot14+17\cdot3=-112+51=-61\)

d: \(=37+48-72-30=7-24=-17\)

a,

53.(-15) + (-15).47

= (-15).(53 + 47)

= -15.100

= -1500

b,

-43.92 - 46.27 + 46.41

= -43.92 - 46.(27 - 41)

= -86.46 - 46.(-14)

= 46.(-86 -14)

= 46.(-100)

= -4600

c,

-72(15 - 49) + 15(-56 + 72)

= -72.15 + 72.49 - 56.15 + 72.15

= 56(63 - 15)

= 2688

d,

(-2⁴).17.(-3)⁰.(-5)⁶.(-1²ⁿ)

= (-2⁴).17.(-5⁶)

= 4250000

\(xy+14+2y+7x=-10\)

\(\Rightarrow xy+7x+7y=-24\)

\(\Rightarrow x\left(y+7\right)+7y=-24\)

\(\Rightarrow x\left(y+7\right)+7y+49=-24+49\)

\(\Rightarrow x\left(y+7\right)+7\left(y+7\right)=25\)

\(\Rightarrow\left(x+7\right)\left(y+7\right)=25\)

\(\Rightarrow\left(x+7\right);\left(y+7\right)\inƯ\left(25\right)=\left\{\pm1;\pm5;\pm25\right\}\)

Xét bảng 

Vậy.........................

\(xy+x+y=2\)

\(\Rightarrow x\left(y+1\right)+\left(y+1\right)=2+1\)

\(\Rightarrow\left(x+1\right)\left(y+1\right)=3\)

\(\Rightarrow\left(x+1\right);\left(y+1\right)\inƯ\left(3\right)=\left\{\pm1;\pm3\right\}\)

Xét bảng 

Vậy.....................................

\(xy-10+5x-3y=2\)

\(\Rightarrow xy-5x-3y=12\)

\(\Rightarrow x\left(y-5\right)-3y+15=12+15\)

\(\Rightarrow x\left(y-5\right)-3\left(y-5\right)=27\)

\(\Rightarrow\left(x-3\right)\left(y-5\right)=27\)

\(\Rightarrow\left(x-3\right);\left(y-5\right)\inƯ\left(27\right)=\left\{\pm1;\pm3;\pm9;\pm27\right\}\)

Tự xét bảng như trên 

\(xy-1=3x+5y+4\)

\(\Rightarrow xy-3x-5y=4+1\)

\(\Rightarrow x\left(y-3\right)-5y+15=1+4+15\)

\(\Rightarrow x\left(y-3\right)-5\left(y-3\right)=20\)

\(\Rightarrow\left(x-5\right)\left(y-3\right)=20\)

\(\Rightarrow\left(x-5\right)\left(y-3\right)\inƯ\left(20\right)=\left\{\pm1;\pm2;\pm4;\pm5;\pm10;\pm20\right\}\)

Xét bảng 

Vậy......................................

a) \(53.\left(-15\right)+\left(-15\right).47=\left(-15\right).\left(53+47\right)=\left(-15\right).100=-1500\)

b) \(\left(-43\right).92-46.27+46.41=\left(-86\right).46-46.27+46.41\)

\(=46\left[\left(-86\right)-27+41\right]=46.\left(-72\right)=-3312\)

c) \(\left(-72\right)\left(15-49\right)+15\left(-56+72\right)=\left(-72\right).15-72.49+15.\left(-56\right)+15.72\)

\(=\left[\left(-72\right).15+15.72\right]-72.49-15.56=0-3528-840=4368\)

d) \(\left(-2^4\right).17.\left(-3\right)^0.\left(-5\right)^6\left(-1^{2n}\right)=16.17.1.12625.\left(-1^{2n}\right)\)

a,\(53.\left(-15\right)+\left(-15\right).47\)

\(=-15.\left(53+47\right)=-15.100=-1500\)

\(b,-43.92-46.27+46.41\)

\(=-43.92-\left[46.\left(27-41\right)\right]=-43.92-\left[46.\left(-14\right)\right]\)

\(=-3956+644=-3312\)

\(c,-72\left(15-49\right)+15\left(-56+72\right)\)

\(=-15.72+49.72+15.\left(-56\right)+15.72\)

\(=72.\left(-15+49+15\right)-15.56=3528-840=2688\)