1) $(-35)\cdot18+28\cdot35$

$=35\cdot(-18)+28\cdot35$

$=35\cdot(-18+28)$

$=35\cdot10$

$=350$

2) $53\cdot29-47\cdot(-29)$

$=53\cdot29-47\cdot(-1)\cdot29$

$=53\cdot29+47\cdot29$

$=29\cdot(53+47)$

$=29\cdot100$

$=2900$

3) $125\cdot(-24)+24\cdot225$

$=(-125)\cdot24+24\cdot225$

$=24\cdot(-125+225)$

$=24\cdot100$

$=2400$

4) $26\cdot(-121)-121\cdot(-36)$

$=-121\cdot[26+(-36)]$

$=-121\cdot(26-36)$

$=-121\cdot(-10)$

$=121\cdot10$

$=1210$

5) $65\cdot(-25)+25\cdot(-23)$

$=-65\cdot25+25\cdot(-23)$

$=25\cdot(-65-23)$

$=25\cdot(-88)$

$=-2200$

6) $237\cdot(-26)+26\cdot137$

$=-237\cdot26+26\cdot137$

$=26\cdot(-237+137)$

$=26\cdot(-100)$

$=-2600$

7) $30\cdot(-125)+25\cdot30$

$=30\cdot(-125+25)$

$=30\cdot(-100)$

$=-3000$

8) $(-37)\cdot69+(-31)\cdot37$

$=37\cdot(-69)+37\cdot(-31)$

$=37\cdot(-69-31)$

$=37\cdot(-100)$

$=-3700$

9) $31\cdot72-31\cdot70-31\cdot2$

$=31\cdot(72-70-2)$

$=31\cdot(2-2)$

$=31\cdot0$

$=0$

10) $(-12)\cdot47+(-12)\cdot52+(-12)$

$=-12\cdot(47+52+1)$

$=-12\cdot100$

$=-1200$

$\text{#}Toru$

a, 568 + 568 x 135 - 568 x 36

= 568 x ( 1 + 135 - 36)

= 568 x 100

56 800

b, 17 x 49 + 49 x 37 + 54 x 26 + 54 x 25

=  49 x ( 17 + 37) + 54 x ( 26 + 25 )

= 49 x 54 + 54 x 51

= 54 x ( 49 + 51)

= 54 x 100

= 5 400

c,   14 x 35 x 5 + 10 x 25 x 7 + 20 x 70

 =    ( 2 x 35) x ( 7 x 5)  + ( 10 x 7) x 25 + 20 x 70

= 70 x 35 + 70 x 25 + 20 x 70

= 70 x ( 35 + 25 + 20)

= 70 x 80

= 5 600 

a) 568 + 568 x 135 - 568 x 36

= 568 x ( 1+1+135-1-36 )

=568 x 100

=5680

b) 17 x 49 + 49 x 37 + 54 x 26 + 54 x 25

= 49 x ( 17 + 37 ) + 54 x ( 26 + 25 )

= 49 x 54 + 54 x 51

= 54 x ( 49 + 51 )

= 54 x 100

= 5400

c) 14 x 35 x 5 + 10 x 25 x 7 + 20 x 70

= 70 x 35 + 10 x 25 x 7+ 20 x 70

= 70 x 35 + 250 x 7 + 20 x 70

= 70 x 35 + 70 x 25 + 20 x 70

= 70 x (35+25+20)

= 70 x 80

= 5600

a) (68 - 8) . 14 + (-27 - 33) . 15

=60.14+(-60).15

=-60.(15-14)

=-60.1

=-60

b) 37 . (55 - 49) - 49 . (55 - 37)

=37.55-37.49-49.55-49.37

=37.55-49.55

=55(37-49)

=55.(-12)

=-660

c) (-4) . 19 . (-8) . (-25) . (125)

=[-4.(-25)].[-8.(-125)].19

=100.1000.19

=1900000

d) 32 . (-125) . 17 . (-25)

=(32.17).[-125.(-25)]

=544.3125

=1700000

a) Ta có: \(A=\dfrac{37^3+12^3}{49}-37\cdot12\)

\(=\dfrac{\left(37+12\right)\left(37^2-37\cdot12+12^2\right)}{49}-37\cdot12\)

\(=37^2-2\cdot37\cdot12+12^2\)

\(=\left(37-12\right)^2\)

\(=25^2=625\)

a ) 31 x ( - 125 ) + 225 x 31 

= 31 x [ ( - 125 ) + 225 ]

= 31 x 100

= 3100

b ) 26 x ( - 125 ) - 125 x ( - 36 )

= ( - 26 ) x 125 - 125 x ( - 36 )

= 125 x [ ( - 26 ) - ( - 36 ) ]

= 125 x 10

= 1250

a) 31 × (-125) + 225 × 31

= 31 x ( -125 + 225 )

= 31 x 100

= 3100

b) 26 × (-125) – 125 × (-36)

= -125 ( 26 - 36 ) 

= 125x 10

= 1250

d) 17 × (-37) – 23 × 37 – 46 × (-37)

= -629 - 851 + 1702

= 1480

a) 31 x (-125) + 225 x 31

= 31 x (-125 + 225)

= 31 x 100

= 3100

b) 26 x (-125) - 125 x (-36)

= 26 x (-125) - (-125) x 36

= (-125) x (26 - 36)

= (-125) x (-10)

= 1250

c) 29 x (-13) + 27 x (-29) + (-14) x (-29)

= (-29) x 13 + 27 x (-29) + (-14) x (-29)

= (-29) x (13 + 27 - 14)

= (-29) x 26

= -754

d) 17 x (-37) - 23 x 37 - 46 x (-37)

= 17 x (-37) - (-23) x (-37) - 46 x (-37)

= (-37) x (17 + 23 - 46)

= (-37) x (-6)

= 222

a) \(125\times25\times8\times4\)
\(\Rightarrow\left(125\times8\right)\times\left(25\times4\right)\)
\(\Rightarrow1000\times100\)
\(\Rightarrow100000\)

\(\text{a. 125 x 25 x 8 x 4 }\\ =125.8.25.4\\ =1000.100=100000\)

\(\text{ b. 25 x 32 x 125 x 15}\\ =25.15.32.125\\ =375.4000=1500000\)

b.25 x 32 x 125 x 15=25 x 4 x 8 x 125 x 15

                                =(25 x 4) x (125 x 8) x15

                                =100 x 1000 x 15 = 1500000