(1/284.x)+(1937,3.x)= 184
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\(Bài.1:\\ a,104^2-16=104^2-4^2=\left(104+4\right)\left(104-4\right)=108.100=10800\\ b,9^8.2^8-\left(18^4-1\right)\left(18^4+1\right)\\ =\left(9.2\right)^8-\left(18^8-1\right)=18^8-18^8+1=1\\ c,999^3+3.999^2+3.999+1\\ =999^3+3.999^2.1+3.999.1^2+1^3=\left(999+1\right)^3=1000^3=1000000000\\ d,42^3-6.42^2+12.42-8\\ =42^3-3.42^2.2+3.42.2^2-2^3\\ =\left(42-2\right)^3=40^3=64000\)
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
\(\left(x+184-278\right)-\left(184-278\right)=4\\\left(x+184-278\right)-\left(-94\right)=4\\ \left(x+184-278\right)+94= 4\\ \left(x+184-278\right)= 4-94\\ \left(x+184-278\right)=-90\\ x+184=-90+278\\ x+184=188\\ x=188-184\\ 4.\)
( x + 184 - 278 ) - ( 184 - 278 ) = 4
x + 184 - 278 - 184 + 278 = 4
x + 0 = 4
x = 4
1 cách cực ngu
\(\frac{x+107}{7}+\frac{x+6}{47}+\frac{x+1}{33}+\frac{x+184}{21}=0\)
\(\Leftrightarrow1551\left(x+107\right)+231\left(x+6\right)+329\left(x+1\right)+517\left(x+184\right)=0\)
\(\Leftrightarrow1551x+165957+231x+1386+329x+517x+95128=0\)
\(\Leftrightarrow2628x+262800=0\)
\(\Leftrightarrow2628x=-262800\)
\(\Leftrightarrow x=-100\)
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. 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