$\textbf{A}$

$A=[261-(36-31)^3\cdot2]-9\cdot1001$

$=[261-5^3\cdot2]-9009$

$=[261-125\cdot2]-9009$

$=(261-250)-9009$

$=11-9009$

$=-8998.$

$\textbf{B}$

$B=\{315-[(60-41)^2-361]\cdot4217\}+2885$

$=\{315-(19^2-361)\cdot4217\}+2885$

$=\{315-(361-361)\cdot4217\}+2885$

$=315-0+2885$

$=3200.$

={[126-5^2.2]-9}.1001

={[126-25.2]-9}.1001

={[126-50]-9}.1001

={76-9}.1001

=67.1001=67067

\(\left\{\left[261-\left(36-31\right)^3.2\right]-9\right\}.1001.2016^0\)

\(=\left\{\left[261-5^3.2\right]-9\right\}.1001.2016^0\)

\(=\left\{\left[261-125.2\right]-9\right\}.1001.2016^0\)

\(=\left\{\left[261-250\right]-9\right\}.1001.2016^0\)

\(=\left\{11-9\right\}.1001.2016^0\)

\(=2.1001.2016^0\)

\(=2002.2016^0\)

\(=2002.1\)

\(=2002\)

\(\left\{\left[261-\left(36-31\right)^3.2\right]-9\right\}.1001.2016^0\)

\(=\left\{\left[261-5^3.2\right]-9\right\}.1001\)

\(=\left[\left(136.2\right)-9\right].1001\)

\(=\left(272-9\right).1001\)

\(=263.1001\)

\(=263263\)

$\textbf{a)}$

$\{[126-(36-31)^2\cdot2]-9\}\cdot1001$

$=\{126-5^2\cdot2-9\}\cdot1001$

$=(126-50-9)\cdot1001$

$=67\cdot1001$

$=67067.$

$\textbf{b)}$

$\{315-[(60-41)^2-361]\cdot4217\}+2885$

$=\{315-(19^2-361)\cdot4217\}+2885$

$=\{315-(361-361)\cdot4217\}+2885$

$=315+2885$

$=3200.$

$\textbf{a)}$

$\{[261-(36-3)\cdot3^2]-9\}\cdot1001$

$=\{261-33\cdot9-9\}\cdot1001$

$=(261-297-9)\cdot1001$

$=-45\cdot1001$

$=-45045.$

$\textbf{b)}$

$\{315-[(660-41)^2-361]\cdot4217\}+2885$

$=\{315-(619^2-19^2)\cdot4217\}+2885$

$=\{315-(619-19)(619+19)\cdot4217\}+2885$

$=\{315-600\cdot638\cdot4217\}+2885$

$=3200-1613691600$

$=-1613688400.$

a) 2³.15 -[115-(12-5)² ]

= 2³.15 -[115-36]

= 8.15 -79

= 120-79

=41

b)5.[(85 - 35 : 7) :8 + 90 ] - 50

=5 .[80:8+90]-50

=5.100-50

=500-50

=450

c){[261 - ( 36-31)³.2 ]-9}.1001

={[261 - 125.2 ]-9}.1001

={[261 -250 ]-9}.1001

={11-9}.1001

=2.1001

=2002

d)3.10² - [1200 - ( 4² - 2.3)^3]

=3.100-[1200 -(16-6)³ ]

=300-[1200-1000]

=300-200

=100

\(a)2^3\cdot15-[115-(12-5)^2]\\=8\cdot15-(115-7^2)\\=120-(115-49)\\=120-66\\=54\\---\\b)5\cdot[(85-35:7):8+90]-60\\=5\cdot[(85-5):8+90]-60\\=5\cdot(80:8+90)-60\\=5\cdot(10+90)-60\\=5\cdot100-60\\=500-60\\=440\)

\(---\)

\(c,\left\{\left[261-\left(36-31\right)^3\cdot2\right]-9\right\}\cdot1001\)

\(=\left[\left(261-5^3\cdot2\right)-9\right]\cdot1001\)

\(=\left[\left(261-125\cdot2\right)-9\right]\cdot1001\)

\(=\left[\left(261-250\right)-9\right]\cdot1001\)

\(=\left(11-9\right)\cdot1001\)

\(=2\cdot1001\)

\(=2002\)

\(---\)

\(d,3\cdot10^2-\left[1200-\left(4^2-2\cdot3\right)^3\right]\)

\(=3\cdot100-\left[1200-\left(16-6\right)^3\right]\)

\(=300-\left(1200-10^3\right)\)

\(=300-\left(1200-1000\right)\)

\(=300-200\)

\(=100\)

#\(Toru\)

b, B = 1 + 2 + 2^2 + 2^3 +.....+ 2^2013

2B = 2.(1 + 2 + 2^2 + 2^3 +.....+ 2^2013)

2B = 2 + 2^2 + 2^3 + 2^4 +.....+ 2^2014

2B - B = 2^2014 - 1

B = 2^2014 - 1

$\textbf{Bài 1a}$

$\{[216-(36-31)^3\cdot2]-9\}\cdot1001$

$=\{216-5^3\cdot2-9\}\cdot1001$

$=(216-250-9)\cdot1001$

$=(-43)\cdot1001$

$=-43043.$

$\textbf{Bài 1b}$

$\{315-[(60-41)^2-361]\cdot4217\}+2885$

$=\{315-(19^2-361)\cdot4217\}+2885$

$=\{315-(361-361)\cdot4217\}+2885$

$=315+2885$

$=3200.$