a: \(1968\cdot15+1968\cdot84+1968\)

\(=1968\left(15+84+1\right)\)

\(=1968\cdot100=196800\)

b: \(6412+5378+3582+4628\)

\(=\left(6412+4628\right)+\left(5378+3582\right)\)

\(=11040+8960=20000\)

c: \(178\cdot101-178\)

\(=178\cdot101-178\cdot1\)

\(=178\left(101-1\right)=178\cdot100=17800\)

d: \(153\cdot8+153+153\)

\(=153\left(8+1+1\right)\)

\(=153\cdot10=1530\)

a)67.153-53.67+712:8

=67.(153-53)+89

=67.100+89

=6789

\(a,67\times153-53\times67+712:8\)

\(=67\times\left(153-53\right)+\left(712:8\right)\)

\(=67\times100+89\)

\(=6700+89\)

\(=6789\)

\(b,168-\left\{5\times\left[143-\left(15-12\right)^2\right]+10\right\}:10\)

\(=168-\left\{5\times\left[143-3^2\right]+10\right\}:10\)

\(=168-\left\{5\times134+10\right\}:10\)

\(=168-\left\{670+10\right\}:10\)

\(=168-680:10\)

\(=168-68\)

\(=100\)

\(c,\left(-13\right)+84+\left(-87\right)+16\)

\(=13+84-87+16\)

\(=\left(13+87\right)-\left(84+16\right)\)

\(=100-100\)

\(=0\)

\(d,9-\left(12-15\right)\)

\(=9-\left(-3\right)\)

\(=12\)

a, (x-3418)+1968=1968+2582                                                  

     x-3418          =1968+2582-1968

     x-3418           =2582

     x                   =2582+3418

    x                    =6000

b,12346+(x+975)=3957+3975

  12346+(x+975)=7932  

               x+975=12346-7932

                x+975=4414

                 x       =4414-975

                 x       =3439

Bài 1 : Tìm x

96-x.(x+1)=42

x(x+1)=138

2x+x=138

3x=138

x=46

Bài 2 : Tính Nhanh

a,19.27+47.81+19.20

=19.(27+20)+47.81

=19.47+47.81

=47(19+81)

=47.100

=4700

b,87.23+13.93+70.87

=87.(23+70)+13.93

=87.93+13.93

=93.(87+13)

=93.100

=9300

Bài 3: Tính Tổng

a,1+4+7+...+79

=(79+1).27:2

=80.27:2

=2160:2

=1080

b,15+17+19+21+...+151+153+155

=(155+15).71:2

=160.71:2

=11360:2

=5680

c,15+25+35+...+115

=130.11:2

=1430:2

=715

d,24+25+28+...+125+126

=150.103:2

=7725

B1:

\(a.301^2=\left(300+1\right)^2=300^2+2.300.1+1^2\\ =90000+600+1=90601\\ b.88^2+2.88.12+12^2=\left(88+12\right)^2=100^2=10000\\ c.99.100=100^2-100=10000-100=9900\\ d,153^2+94.153+47^2=153^2+2.153.47+47^2=\left(153+47\right)^2=200^2=40000\)

B2:

\(A=x^2-20x+101\\ =x^2-2.x.10+10^2+1\\ =\left(x-10\right)^2+1\ge1\forall x\in R\left(Vì:\left(x-10\right)^2\ge0\forall x\in R\right)\\ \Rightarrow min_A=1\Leftrightarrow x-10=0\Leftrightarrow x=10\)

Bài 1:

a, (-33) + 45 + (-67)

= - (33 + 67) + 45

= - 100 + 45

= - 55 

c, 75 : [ (153 - 6.52).8 + 2011⁰ ]

= 75 : [ 153 - 312].8 + 1]

= 75 : [ - 159.8 + 1]

= 75 : [-1272 + 1]

= 75 : (-1271)

= - \(\dfrac{75}{1271}\)

Bài 2

6\(x\) + 15 = 75

6\(x\)         = 75 - 15

6\(x\)        = 60

  \(x\)        = 60 : 6

   \(x\)       = 10

(-33)+45+(-67)
=[(-33)+(-67)]+45
=(-100)+45
=55
mấy câu sau mỏi tay nên ghi đáp án thoi
c=3
2a     x=10