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1. a) 4.415.8.25.125
= (4.25). (8.125).415
= 100.1000.415
= 100000.415
= 41500000
b) 2.31.12+4.42.6+8.27.3
= (2.31.12)+(4.42.6)+(8.27.3)
= (2.12).31+(4.6).42+(8.3).27
= 24.31+24.42+24.27
= 24 (31+42+27)
= 24.100
= 2400
a) 75 : ( x - 18 ) = 52 = 25
=> x - 18 = 3
=> x = 21
b) 740 : ( x - 10 ) = 102 - 2 x 13
740 : ( x - 10 ) = 100 - 26 = 74
=> x - 10 = 10
=> x = 20
c) ( 2x - 5 )3 = 8 = 23
=> 2x - 5 = 2
=> 2x = 7
=> x= 7/2
d) ( 15 - 6x ) x 35 = 36
=> ( 15 - 6x ) = 36 : 35 = 3
=> 6x = 12
=> x = 2
\(12+2x=6^3:6^2\\ 12+2x=6\\ 2x=6-12\\ x=-6\\ x=\left(-6\right):2\\ x=-3\)
1. 2x=16\(\Rightarrow\)X=4
2. 22x-1=27
\(\Rightarrow\)27=22.4-1
Vậy x =4
\(a,x^2y-8x+xy-8=xy\left(x+1\right)-8\left(x+1\right)=\left(xy-8\right)\left(x+1\right)\\ b,=\left(x+3y\right)^2-9=\left(x+3y-3\right)\left(x+3y+3\right)\)
\(A=3x^2\left(2x^2-7x-2\right)-6x^2\left(x^2-4x-1\right)-3x^3+15\\ A=6x^4-21x^3-6x^2-6x^4+24x^3+6x^2-3x^3+15\\ A=15\left(đpcm\right)\)
\(Sửa:\left(6x^3-7x^2+2x\right):\left(2x+1\right)\\ =\left(6x^3+3x^2-10x^2-5x\right):\left(2x+1\right)\\ =\left[3x^2\left(2x+1\right)-5x\left(2x+1\right)\right]:\left(2x+1\right)\\ =3x^2-5x\)
a. \(12^2.3^2.2^3=2^4.3^2.3^2.2^3=2^7.3^4\)
b. \(8^3.3^2.6^3=2^9.3^2.2^3.3^3=2^{12}.3^5\)
c. \(5^{32}.5^2=5^{34}\)
d. \(100^6.2^3=\left(2^2.5^2\right)^6.2^3=2^8.5^8.2^3=2^{11}.5^8\)
e. \(100^2:10^2:5^2=\left(10.5.2\right)^2:10^2:5^2=2^2\)
f. \(121^3-11^2=11^6-11^2=11^2\left(11^4-1\right)\)
Ta có : 6x+23=2x−126x+23=2x−12
⇒6x+8=2x−12⇒6x+8=2x−12
⇒4x=−20⇒4x=−20
⇒x=−5⇒x=−5
Vậy x=−5x=−5
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