\(5830+\left(-993\right)+170+4007\\ =4837+170+4007\\ =5007+4007\\ =9014\)

cảm ơn bn nha

h: =7000-6000

=1000

a,  

\(\frac{14}{6}+\frac{1}{9}+\frac{19}{13}+\frac{17}{9}+\frac{7}{13}+\frac{4}{6}\)

\(=\left(\frac{14}{6}+\frac{4}{6}\right)+\left(\frac{1}{9}+\frac{17}{9}\right)+\left(\frac{19}{13}+\frac{7}{13}\right)\)

\(=\frac{18}{6}+\frac{18}{9}+\frac{26}{13}\)

  \(=3+2+2\)

\(=7\)

b,

\(\frac{995}{997}x\frac{990}{993}x\frac{997}{990}x\frac{993}{995}x\frac{97}{95}\)

\(=\frac{995x990x997x993x97}{997x993x990x995x95}\)
\(=\frac{97}{95}\)

(Cùng triệt tiêu 995 ; 990 ; 997 ; 993 )

    993 x 11 + 77

=993 x 11 + 7x 11

= 11 x ( 993 + 7 )

= 11x 1000

= 11000

ĐÚng cho mình nha 

Lời giải:

a. $99^3+1+3(99^2+99)=99^3+3.99^2.1+3.99.1^2+1^3=(99+1)^3=100^3=1000000$

b. $11^3-1-3(11^2-11)=11^3-3.11^2.1+3.11.1^2-1^3=(11-1)^3=10^3=1000$

\(A=1-2-3+4+5-6-7+8...+993-994-995+996+997\)

\(A=\left(1-2-3+4\right)+\left(5-6-7+8\right)...+\left(993-994-995+996\right)+997\)

\(A=0+0+...+0+997=997\)

a) ( 100   –   1 ) 3  = 970299.                          b) ( 91   +   9 ) 3   =   100 3 .

c) ( 1000   +   1 ) 3  = 1003003001.                d) ( 102   –   2 ) 3   =   100 3 .

a: \(101^3=\left(100+1\right)^3\)

\(=100^3+3\cdot100^2\cdot1+3\cdot100\cdot1^2+1^3\)

=1000000+30000+300+1

=1030301

b: \(98^3+6\cdot98^2+12\cdot98+8\)

\(=98^3+3\cdot98^2\cdot2+3\cdot98\cdot2^2+2^3\)

\(=\left(98+2\right)^3=100^3=1000000\)

c: \(99^3=\left(100-1\right)^3\)

\(=100^3-3\cdot100^2\cdot1+3\cdot100\cdot1^2-1^3\)

=1000000-30000+300-1

=970299

d: \(13^3-9\cdot13^2+27\cdot13-27\)

\(=13^3-3\cdot13^2\cdot3+3\cdot13\cdot3^2-3^3\)

\(=\left(13-3\right)^3=10^3=1000\)