Câu 1:

a) Ta có: 2n+1 là số lẻ∀n

⇒\(\left(-1\right)^{2n+1}=-1\)

Ta có: \(\left(-25\right)\cdot21\cdot\left(-2\right)^2\cdot\left(-\left|-3\right|\right)\cdot\left(-1\right)^{2n+1}\)

\(=-25\cdot21\cdot4\cdot\left(-3\right)\cdot\left(-1\right)\)

\(=75\cdot84\cdot\left(-1\right)\)

\(=-6300\)

b) Ta có: \(\left(-5\right)^3\cdot67\cdot\left(-\left|-2^3\right|\right)\cdot\left(-1\right)^{2n}\)

\(=-125\cdot67\cdot\left(-8\right)\)

\(=1000\cdot67=67000\)

c) Ta có: \(35\cdot18-5\cdot7\cdot28\)

\(=35\cdot18-35\cdot28\)

\(=35\cdot\left(18-28\right)=35\cdot\left(-10\right)=-350\)

d) Ta có: \(24\cdot\left(16-5\right)-16\cdot\left(24-5\right)\)

\(=24\cdot16-24\cdot5-24\cdot16+16\cdot5\)

\(=-24\cdot5+16\cdot5\)

\(=5\cdot\left(-24+16\right)=5\cdot\left(-8\right)=-40\)

e) Ta có: \(29\cdot\left(19-13\right)-19\cdot\left(19-13\right)\)

\(=6\cdot\left(29-19\right)=6\cdot10=60\)

g)Sửa đề: \(31\cdot\left(-18\right)+31\cdot\left(-81\right)-31\)

Ta có: \(31\cdot\left(-18\right)+31\cdot\left(-81\right)-31\)

\(=31\cdot\left(-18-81-1\right)\)

\(=31\cdot\left(-100\right)=-3100\)

h) Ta có: \(\left(-12\right)\cdot47+\left(-12\right)\cdot52+\left(-12\right)\)

\(=-12\cdot\left(47+52+1\right)\)

\(=-12\cdot100=-1200\)

k) Ta có: \(13\cdot\left(23+22\right)-3\cdot\left(17+28\right)\)

\(=13\cdot45-3\cdot45\)

\(=45\cdot\left(13-3\right)=45\cdot10=450\)

m) Ta có: \(-48+48\cdot\left(-78\right)+48\cdot\left(-21\right)\)

\(=48\cdot\left(-1-78-21\right)\)

\(=48\cdot\left(-100\right)=-4800\)

n) Ta có: \(135\cdot\left(171-123\right)-171\cdot\left(135-123\right)\)

\(=135\cdot171-135\cdot123-171\cdot135+171\cdot123\)

\(=123\cdot\left(-135+171\right)=123\cdot36=4428\)

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1, 35 . 18 - 5 . 7 . 28

= 35 . 18 - 35 . 28

= 35 . ( 18 - 28 )

= 35 . ( -10 )

= -350

2, 45 - 5 . ( 12 + 9 )

= 40 . 21

= 840

3, 24 . ( 16 - 5 ) - 16 . ( 24 - 5 )

= 24 . 11 - 16 . 19

= 264 - 304

= -40

a/ 35*18-35*28=35*(-10)=-350

b.45-5.(12+9)=45-45-60=-60

c.24.(16-5) -16.(24-5)= 24.16 - 24.5 - 16.24 - 16.5= 0 -120 - 80= -200

35 . 18 - 5 . 7 . 28

= 35.18-5.7.28

= 35 . 18 - 35 . 28

= 35 . ( 18 - 28 )

= 35 . ( - 10 )

= -350

D. 24.(16-5)-16.(24-5)

= 24 . 11 - 16 . 19

= 264 - 304

= -30

E. 29.(19-13)-19.(29-13)

= 29 . 6 - 19 . 16

= 29 - 19 . 6 .16

= 10 . 6 . 16 

= 60 . 16 

=960

1)  \(35.18-5.7.28=35.18-35.28=35\left(18-28\right)=-350\)

2)  \(45-5\left(12+9\right)=45-60-45=-60\)

3)  \(24\left(16-5\right)-16\left(24-5\right)=24.16-24.5-16.24+16.5=5\left(16-24\right)=5.8=40\)

4)  \(29\left(19-13\right)-19\left(29-13\right)=29.19-29.13-19.29+19.13=13\left(19-29\right)=-130\)

5)  \(31.\left(-18\right)+31.\left(-81\right)-31=-31.\left(18+81+1\right)=-3100\)

6)  \(\left(-12\right).47+\left(-12\right).52+\left(-12\right)=\left(-12\right)\left(47+52+1\right)=-1200\)

7)  \(13\left(23+22\right)-3\left(17+28\right)=13.45-3.45=45.\left(13-3\right)=450\)

8)  \(-48+48.\left(-78\right)+48.\left(-21\right)=-48\left(1+78+21\right)=-4800\)