HOC24
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đg `+` rồi chuyển sang `-` luôn v❔
\(\left(x^2-4\right)\left(2x+x+3\right)\\ =\left(x^2-4\right)\left(3x+3\right)\\ =3x^3+3x^2-12x-12\\ =3x^2\left(x+1\right)-12\left(x+1\right)\\ =\left(x+1\right)\left(3x^2-12\right)\\ =3\left(x+1\right)\left(x^2-4\right)\\ =3\left(x+1\right)\left(x-2\right)\left(x+2\right)\)
7/5 no 7/3 con uii:))
`7/5 x -2/3 = -4/3x -1/4`
`=> 7/5x +4/3x = -1/4 +2/3`
`=> (7/5 +4/3) x = -3/12 + 8/12`
`=> 41/15 x= 5/12`
`=> x= 5/12 : 41/15`
`=> x= 5/12 xx 15/41`
`=>x=41/36`
Ta có :
\(5^{199}< 5^{200}=5^{2\cdot100}=25^{100}\)
\(3^{300}=3^{3\cdot100}=27^{100}\)
Mà \(25^{100}< 27^{100}\Rightarrow5^{199}< 3^{300}\)
Vậy \(\dfrac{1}{3^{300}}>\dfrac{1}{5^{199}}\)
Câu `11`
`a, 9/4 + (-7)/6 *3/7`
`= 9/4 + (-21)/42`
`= 9/4 +(-1/2)`
`= 9/4 + (-2/4)`
`= 7/4`
`b, -3/8 *1/9 +1/9 *(-13)/8`
`= 1/9 * (-3/8 -13/8)`
`= 1/9 * (-16)/8`
`= 1/9 * (-2)`
`= -2/9`
`c, -1/7 +6/7 *(0,5-1/3)`
`= -1/7 +6/7 * (1/2-1/3)`
`= -1/7 +6/7 *1/6`
`=-1/7 + 6/42`
`=-1/7 +1/7`
`=0`
`d, (-1/4)^2 * 4/11 +7/11*(-1/4)^2`
`=(-1/4)^2 *(4/11+7/11)`
`=(-1/4)^2 * 11/11`
`= 1/16*1`
`=1/16`