a)  ( 135 − 35 ) . ( − 37 ) + 37 ( − 41 − 59 ) = − 100.37 + 37 − 100 = 37 − 100 − 100 = 37 − 200 = − 7400.

b)  − 65 ( 87 − 17 ) − 87 ( 17 − 65 ) = − 65.87 + 65.17 − 87.17 + 87.65 = 87.65 − 65.87 + 17 65 − 87 = 0 + 17. − 22 = − 374.

c)  3 ( − 2 ) − ( − 8 ) . ( − 7 ) − ( − 2 ) . ( − 5 ) = − 6 + 8 . − 7 + 2 = 2. − 7 + 2 = − 12

89312

Đúng 100%

Đúng 100%

Đúng 100%

= 89312

là -10645 nha

10645 nha chúc bạn học tốt

a; A = (3².5 - 160: 2²) + 2024

   A = (9.5 - 160 : 4) + 2024

  A = (45 - 40) + 2024

  A = 5 + 2024

  A = 2029

b; B = (-360) - (-87) + 69 - 87

    B = -360 + 87 + 69 - 87

    B = - (360 - 69) + (87 - 87)

    B = - 291 + 0

    B = -291

c; C = 182.26 - 82.26 + 500

   C  = 26.(182 - 82) + 500

   C  = 26.100 + 500

   C   = 2600 + 500

  C   = 3100 

Ta có: \(A=1.3+2.4+3.5+4.6+...+99.101+100.102\)

\(A=1.\left(1+2\right)+2.\left(2+2\right)+3.\left(3+2\right)+4.\left(4+2\right)+....+99.\left(99+2\right)+100.\left(100+2\right)\)

\(A=\left(1^2+2^2+3^2+4^2+...+99^2+100^2\right)+\left(2+4+6+8+...+198+200\right)\)Đặt \(B=1^2+2^2+3^2+4^2+5^2+...+99^2+100^2\)

\(\Rightarrow B=\left(1^2+2^2+3^2+4^2+5^2+...+99^2+100^2\right)-2^2.\left(1^2+2^2+3^2+4^2+5^2+....+49^2+50^2\right)\)Tính dãy tổng quát \(C=1^2+2^2+3^2+4^2+5^2+...+n^2\)

\(C=1\left(0+1\right)+2\left(1+1\right)+3.\left(2+1\right)+4.\left(3+1\right)+5\left(4+1\right)+...+n\left[\left(n-1\right)+1\right]\)

\(C=\left[1.2+2.3+3.4+4.5+...+\left(n-1\right).n\right]+\left(1+2+3+4+5+....+n\right)\)

\(C=n.\left(n+1\right).\left[\left(n-1\right):3+1:2\right]=n.\left(n+1\right).\left(2n+1\right):6\)

Áp dụng vào B ta được:

\(B=100.101.201:6-4.50.51.101:6=166650\)

\(\Rightarrow A=166650+\left(200+2\right).100:2\)

\(\Rightarrow A=166650+10100=176750\)

Vậy A = 176750

Chúc bạn học tốt!!

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

= 100 . 0 . (-100)

= 0

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

= -65 . 70 - 87 . (-48)

= -4550 - 135

= -4415

25/7 - 2 + 3/2 = 43/14

4/5 x 10/3 : 8= 4/5 x 10/3 x 1/8 = 1/3

7/3 + 2/5 : 1/6 = 7/3+ 2/5 x 6 = 7/3 + 12/5 = 71/15

25/7 - 2 + 3/2 = 43/14

`(87-37 ) : (-5) + ( 19-26 ) . (-3)^2`

`=50 :(-5) + (-7).9`

`= -10+  (-7).9`

`= -10+ (-63)`

`=-73`

(87 - 37) : ( -5) + ( 19-26).(-3)²

50 : (-5) + -7 . 9

= -10 - 63

= -( 10 + 63)

= -73