\(Bài.1:\\ a,104^2-16=104^2-4^2=\left(104+4\right)\left(104-4\right)=108.100=10800\\ b,9^8.2^8-\left(18^4-1\right)\left(18^4+1\right)\\ =\left(9.2\right)^8-\left(18^8-1\right)=18^8-18^8+1=1\\ c,999^3+3.999^2+3.999+1\\ =999^3+3.999^2.1+3.999.1^2+1^3=\left(999+1\right)^3=1000^3=1000000000\\ d,42^3-6.42^2+12.42-8\\ =42^3-3.42^2.2+3.42.2^2-2^3\\ =\left(42-2\right)^3=40^3=64000\)

Bài 1

a) 104² - 16

= 104² - 4²

= (104 - 4)(104 + 4)

= 100.108

= 10800

b) 9⁸.2⁸ - (18⁴ - 1)(18⁴ + 1)

= 18⁸ - (18⁸ - 1)

= 18⁸ - 18⁸ + 1

= 1

c) 999³ + 3.999² + 3.999 + 1

= (999 + 1)³

= 1000³

= 1000000000

d) 42³ - 6.42² + 12.42 - 8

= (42 - 2)³

= 40³

= 64000

Bài 2

a) x(x - 2012) - 2013x + 2012.2013 = 0

⇔ x(x - 2012) - 2013(x - 2012) = 0

⇔ (x - 2012)(x - 2013) = 0

⇔ x - 2012 = 0 hoặc x - 2013 = 0

*) x - 2012 = 0

⇔ x = 2012

*) x - 2013 = 0

⇔ x = 2013

Vậy x = 2012; x = 2013

b) (x - 1)³ + 1 + 3x(x - 4) = 0

⇔ x³ - 3x² + 3x - 1 + 1 + 3x² - 12x = 0

⇔ x³ - 9x = 0

⇔ x(x² - 9) = 0

⇔ x(x - 3)(x + 3) = 0

⇔ x = 0 hoặc x - 3 = 0 hoặc x + 3 = 0

*) x - 3 = 0

⇔ x = 3

*) x + 3 = 0

⇔ x = -3

Vậy x = -3; x = 0; x = 3

c) (x + 4)² - 16 = 0

⇔ (x + 4)² - 4² = 0

⇔ (x + 4 - 4)(x + 4 + 4) = 0x

⇔ (x + 8) = 0

⇔ x = 0 hoặc x + 8 = 0

*) x + 8 = 0

⇔ x = -8

Vậy x = -8; x = 0

\(\left(x+184-278\right)-\left(184-278\right)=4\\\left(x+184-278\right)-\left(-94\right)=4\\ \left(x+184-278\right)+94= 4\\ \left(x+184-278\right)= 4-94\\ \left(x+184-278\right)=-90\\ x+184=-90+278\\ x+184=188\\ x=188-184\\ 4.\)

( x + 184 - 278 ) - ( 184 - 278 ) = 4

x + 184 - 278 - 184 + 278 = 4

x + 0 = 4

x = 4

1 cách cực ngu 

\(\frac{x+107}{7}+\frac{x+6}{47}+\frac{x+1}{33}+\frac{x+184}{21}=0\)

\(\Leftrightarrow1551\left(x+107\right)+231\left(x+6\right)+329\left(x+1\right)+517\left(x+184\right)=0\)

\(\Leftrightarrow1551x+165957+231x+1386+329x+517x+95128=0\)

\(\Leftrightarrow2628x+262800=0\)

\(\Leftrightarrow2628x=-262800\)

\(\Leftrightarrow x=-100\)

phải bằng 384 mới làm dc

g: =900x13

=11700

a)184 x 72 + 184 x 27 + 184

=184 x 72 + 184 x 27 + 184 x 1

= 184 x (72 + 27 + 1 )

=184 x 100=18400

c)1999 x 346 + 1999 + 653 x 1999

=1999 x 346 + 1999 + 653 x 1999 x 1

= 1999 x ( 346 + 653 + 1 )

= 1999 x 1000=1999000

e)23 x 5 x 7 x 4

= ( 23 x 7) x( 5 x 4)

= 161 x 20= 3220

b)1996 x 1257 – 1996 – 256 x 1996

=1996 x 1257 – 1996 – 256 x 1996 x 1

= 1996 x ( 1257 - 256 - 1 )

= 1996 x 1000= 1996000

a ) 184 x 72 +184 x 27 + 184 
 = 184 x ( 72 + 27 ) + 184
 = 184 x 99 + 184 
 = 18216 + 184
 = 18400
c) 1999 x 346 + 1999 + 653 x 1999
 = 1999 x ( 346 + 653 ) + 1999
 = 1999 x 999 + 1999
 = 1997001 + 1999 
 = 1999000
 e)  23 x 5 x 7 x 4
 = 23 x 7 x 5 x 4
 = 161 x 20
 = 3220
 b) 1996 x 1257 -1996 - 256 x 1996
 = 1996 x ( 1257 - 256 ) - 1996
 = 1996 x 1001 - 1996 
 = 1997996 - 1996
 = 1996000
 d) 24 x 89 + 24 + 16 x 15
 = 24 x 89 + 16 x 15 + 24
 = 2136 + 240 + 24
 = 2400
 g) 25 x 36 x 13
 = 25 x 36 x 13
 = 900 x 13
 = 11700
                                                        bài này làm hơi lâu nhưng khá dễ lần sau bạn nên tự
                                                       làm nha ♥♥

a. 36 + (-15) + 27 + (-36) + 15

= 36 - 15 + 27 - 36 + 15

= 36 - 36 - 15 + 15 + 27

= 0 - 0 + 27

= 27

b. -12 + 34 + (-28) + 12 + (-34)

= 34 - 12 - 28 + 12 - 34

= 34 - 34 - 12 + 12 - 28

= 0 - 0 - 28

= -28

c. -15 + 16 + (-25) + 34 + (-23)

= 16 - 15 - 25 + 34 - 23

= 16 + 34 - 15 - 15 - 23

= 50 - 30 - 23

= -3

d. -12 + 8 + 18 + (-17) + 81 + (-71) + 1

= 8 - 12 + 18 - 17 + 81 - 71 + 1

= -4 + 1 + 10 + 1

= -3 + 11

= 8

e. -284 + 184 + 35 + (-25)

= 184 - 284 + 35 - 25

= -100 + 10

= -90

Quá khen, quá khen

Bn chỉ cần bỏ phần mik bỏ ngoặc là làm tiếp thôi

1) x-12=(-8)+(-17)
    x-12=(-25)
    x      = (-25)+12
    x      = (-13)