a, 27+(-17+x)=297-(12+297)

27-17+x=297-12-297

10+x=-12

x=-22

b,25-(-2+x+25)= -(-10-397)+(-397-5)

25+2-x-25=10+397-397-5

2-x=5

x=-3

c, (32-x)+(-7+/x/)-(/-x/+25)=-45

* TH1: x>=0, ta có /x/=x , /-x/=-x

32-x+(-7+x)-(-x+25)=-45

32-x-7+x+x-25=-45

x=-45

*TH2:x<0, ta có /x/=-x, /-x/=x

32-x-7-x-x-25=-45

-3x=-45

x=15

1)

\(\left(a\right)37+397+3997+39997\)

\(=40-3+400-3+4000-3+40000-3\)

\(=\left(40+400+4000+40000\right)-\left(3+3+3+3\right)\)

\(=44440-12=44428\)

\(\left(b\right)298+2998+29998+299998\)

\(=300-2+3000-2+30000-2+300000-2\)

\(=\left(300+3000+30000+300000\right)-\left(2+2+2+2\right)\)

\(=333300-8=333296\)

\(\left(c\right)9+99+999+9999+99999\)

\(=10-1+100-1+1000-1+10000-1+100000-1\)

\(=\left(10+100+1000+10000+100000\right)-\left(1+1+1+1+1\right)\)

\(=111110-5=111105\)

2)
\(\left(a\right)\left(2+4+6+...+2002+2004+2006\right)-\left(1+3+5+...+2001+2003+2005\right)\)

\(=\left(2-1\right)+\left(4-3\right)+\left(6-5\right)+...+\left(2002-2001\right)+\left(2004-2003\right)+\left(2006-2005\right)\)

\(=1+1+1+...+1+1+1\)( 1003 số 1 )

\(=1003\)

\(\left(b\right)88-87+86-85+84-83+...+6-5+4-3+2-1\)

\(=\left(88-87\right)+\left(86-85\right)+\left(84-83\right)+...+\left(6-5\right)+\left(4-3\right)+\left(2-1\right)\)

\(=1+1+1+...+1+1+1\)( 44 số 1 )

\(=44\)

\(\left(c\right)100-98+96-94+92-90+...+12-10+8-6+4-2\)

\(=\left(100-98\right)+\left(96-94\right)+\left(92-90\right)+...+\left(12-10\right)+\left(8-6\right)+\left(4-2\right)\)

\(=2+2+2+...+2+2+2\) ( 25 số 2 )

\(=50\)

3)

\(\left(a\right)360-357+354-351+348-345+...+312-309+306-303+300-297\)

\(=\left(360-357\right)+\left(354-351\right)+\left(348-345\right)+...+\left(312-309\right)+\left(306-303\right)+\)\(\left(300-297\right)\)

\(=3+3+3+3+3+3+3+3+3+3+3=33\)

\(\left(b\right)2006-1-2-3-4-...-47-48-49-50\)

\(=2006-\left(1+2+3+4+...+47+48+49+50\right)\)

\(=2006-\frac{\left(50+1\right)\left[\left(50-1\right)+1\right]}{2}\)

\(=2006-1275=731\)

\(\left(c\right)280-276+272-268+264-260+...+216-212+208-204+200-196\)

\(=\left(280-276\right)+\left(272-268\right)+\left(264-260\right)+...+\left(216-212\right)+\left(208-204\right)+\)\(\left(200-196\right)\)

\(=4+4+4+4+4+4+4+4+4+4+4=44\)

Cảm ơn bạn nha

a,(17-414)-(586-83)

=17-414-586+83

=(17+83)+(-414-586)

=100+(-1000)

=-900

b,29.(-13)+27.(-29)+(-140).(-29)

=(-29).(-1).(-13)+27.(-29)+(-140).(-29)

=(-29).13+27.(-29)+(-140).(-29)

=(-29).(13+27-140)

=(-29).(-100)

=2900

264-86+386-64= 500

thi tốt nha

(264+386)-(86+64)

=650-150

=500

=264-64+386-86

=200+300

=500

e chiu thanh no

ds:37119062753711906275

  397 . ( -99 ) + 99 . 297 

= -397 . 99 + 99 . 297

= 99.( -397+ 297 )

=99 . (-100)

= -9900

  397 . ( -99 ) + 99 . 297 

= -397 . 99 + 99 . 297

= 99.( -397+ 297 )

=99 . (-100) = -9900

   397 . ( -99 ) + 99 . 297

= ( -397 ) . 99 + 99 . 297

= 99 . [ ( -397 ) + 297 ]

= 99 . ( -100 )

= -9900

397+512=390+510+7+2=909

15x7x20=3x5x7x2x10=ấn máy tính hhh

397+512=(397+3)+(512-3)=400+509=909

15.7.20=7(20.15)=7.300=2100

Đặt biểu thức là A

Ta có

\(A=\left(1+3-5-7\right)+\left(9+11-13-15\right)+.....+\left(393+395-397-399\right)\)

\(\Rightarrow A=\left[\left(1-5\right)+\left(3-7\right)\right]+......+\left[\left(393-397\right)+\left(395-399\right)\right]\)

\(\Rightarrow A=\left[\left(-4\right)+\left(-4\right)\right]+.....+\left[\left(-4\right)+\left(-4\right)\right]\)

\(\Rightarrow A=\left(-8\right)+.....+\left(-8\right)\)

\(\Rightarrow A=\left(-8\right).50\)

\(\Rightarrow A=-400\)