7791 + 17 . 42 + (-7791) + 17 . 58

= (7791 - 7791) + 17 . (42 + 58)

= 0 + 17.100

= 1700

= [ 7791 + (-7791) ] - 17 x (58 + 42)

= 0 + 17 x 100

= 0 + 1700

= 1700

cách này nhanh hơn nha bạn Kiều Vũ Linh

`@` `\text {Ans}`

`\downarrow`

`2023 \times 14 + 2023 \times 83+97`

`= 2023 \times (14+83) + 97`

`= 2023 \times 97 + 97`

`= 196231 +97`

`= 196328`

`78 \times 31+78 \times 24+78 \times 17+78 \times 22 \times 72`

`= 78 \times (31+24+17+22 \times 72)`

`= 78 \times (31+24+17+1584)`

`= 78 \times 1656`

`= 129168`

`371 \times 69+371 \times 14+629 \times 83`

`= 371 \times (69+14) + 629 \times 83`

`= 371 \times 83 + 629 \times 83`

`= 83 \times (371+629)`

`= 83 \times 1000`

`= 83000`

`91 \times 51+49 \times 163-49 \times 72`

`= 91 \times 51 + 49 \times (163-72)`

`= 91 \times 51+49 \times 91`

`= 91 \times (51+49)`

`= 91 \times 100`

`= 9100`

`3 \times 12 \times 17 + 4 \times 9 \times 81 + 2 \times 6 \times 6`

`= 9 \times 4 \times 17 + 4 \times 9 \times 81 + 4 \times 9 \times 2`

`= 9 \times 4 \times (17+81+2)`

`= 36 \times 100` 

`= 3600`

`42 \times 17 + 58 \times 83 \times 42 \times 83 + 42 \times 83 + 17`

`= 17 \times (42+58) + 42 \times 83 \times (58 \times 83 +1)`

`= 17 \times 100 + 3486 \times 4815`

`= 1700 + 16785090`

`= 16786790`

a) Ta có: \(\left(-65\right)\cdot\left(87-17\right)-87\cdot\left(17-65\right)\)

\(=-65\cdot87+65\cdot17-87\cdot17+87\cdot65\)

\(=17\left(65-87\right)=17\cdot\left(-22\right)=-374\)

b) Ta có: \(\left(135-35\right)\cdot\left(-37\right)+37\cdot\left(-42-58\right)\)

\(=\left(-100\right)\cdot37+37\cdot\left(-100\right)\)

\(=37\left(-100-100\right)=37\cdot\left(-200\right)=-7400\)

\(=\dfrac{8}{29}-\dfrac{4}{29}+\dfrac{-4}{17}+\dfrac{21}{17}-2=\dfrac{4}{29}-1=-\dfrac{25}{29}\)

a) \(36.\left(-57\right)-57.64\)

\(=36.\left(-57\right)+\left(-57\right).64=\left(-57\right).\left(36+64\right)\)

\(=\left(-57\right).100=-5700\)

b)\(32.\left(-17\right)+\left(-18\right).17-50.13\)

\(=\left(-32\right).17+\left(-18\right).17-50.13\)

\(=17.\left(-32-18\right)-50.13=17.\left(-50\right)+\left(-50\right).13\)

\(=\left(-50\right).\left(17+13\right)=\left(-50\right).30=-150\)

c)\(-\left(-35\right)+12-|-35|-42\)

\(=35+12-35-42=12-42=-30\)

d)\(\left(-15-12\right):\left(-3\right)^2+5-13.\left(-2\right)+\left(-64\right):2^3\)

\(=-27:9+5+26-64:8=-3+5+26-8=20\)

e)\(\left(135-35\right).\left(-37\right)+37.\left(-42-58\right)=100.\left(-37\right)+37.\left(-100\right)\)

\(=\left(-100\right).37+37.\left(-100\right)=\left(-100\right).\left(37+37\right)\)

\(=\left(-100\right).74=-7400\)

Chúc em học tốt!!!!!!

Giải thích gõ mỏi tay lắm nên mình chỉ ghi đáp án thôi nha !!!

a)-5700

b)-1500

c)-30

d)20

d)-7400

a, (135-35).(-37)+37.(-42-58)

= 100.(-37)+37.(-100)

= 100.(-37)+(-37).100

= (-37).(100+100)

= (-37).200

= -7400

b, -65.(87-17)-87.(17-65)

= -65.70-87.(-48)

= -4550+4176

=-374

c, [3.(-2)-(-8)].(-7)-(-2).(-5)

= [(-6)+8].(-7)+(-10)

= 2.(-17)

= -34

0

(17+35-42+58-23-45):79=0