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a )
\(3\left|2x-1\right|+1=\left(-2\right)^2-3\left(-2\right)^3\)
\(\Rightarrow3\left|2x-1\right|+1=4-3.-8\)
\(\Rightarrow3\left|2x-1\right|+1=4-\left(-24\right)\)
\(\Rightarrow3\left|2x-1\right|+1=28\)
\(\Rightarrow3\left|2x-1\right|=28-1\)
\(\Rightarrow3\left|2x-1\right|=27\)
\(\Rightarrow\left|2x-1\right|=27:3\)
\(\Rightarrow\left|2x-1\right|=9\)
\(\Rightarrow\orbr{\begin{cases}2x-1=9\\2x-1=-9\end{cases}\Rightarrow\orbr{\begin{cases}2x=10\\2x=-8\end{cases}}}\)
\(\Rightarrow\orbr{\begin{cases}x=5\\x=-4\end{cases}}\)
Vậy \(\orbr{\begin{cases}x=5\\x=-4\end{cases}}\)
b )
\(x^2\left(x+2\right)+4\left(x+2\right)=0\)
\(\Rightarrow\left(x^2+4\right)\left(x+2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x^2+4=0\\x+2=0\end{cases}\Rightarrow\orbr{\begin{cases}x^2=-4\left(L\right)\\x=-2\end{cases}\Rightarrow}x=-2}\)
Vậy \(x=-2\)
~ Ủng hộ nhé
Lời giải:
1.
\((-2x^4y^3z^7)^2(\frac{1}{4}xy^5)(-3x^2yz)^3(\frac{-1}{27}x^3yz^2)\)
\(=(4x^8y^6z^{14})(\frac{1}{4}xy^5)(-27x^6y^3z^3)(-\frac{1}{27}x^3yz^2)\)
\(=(4.\frac{1}{4}.-27.\frac{-1}{27})(x^8.x.x^6.x^3)(y^6.y^5.y^3.y)(z^{14}.z^3.z^2)\)
\(=x^{18}.y^{15}.z^{19}\)
2.
\(=(\frac{-1}{3}.\frac{4}{5}.\frac{-27}{10})(x.x^5.x^2)(y^2.y^6.y)(z.z.z^4)\)
\(=\frac{18}{25}.x^8.y^9.z^6\)
3.
\(=(49.x^{10}y^2z^4)(\frac{-1}{4}.x^3yz^7)(\frac{8}{21}x^5z^4)\)
\(=(49.\frac{-1}{4}.\frac{8}{21})(x^{10}.x^3.x^5)(y^2.y)(z^4.z^7.z^4)\)
\(=\frac{-14}{3}.x^{18}.y^3.z^{15}\)
4.
\(=(\frac{-1}{64}.x^8.y^9.z^{12})(4x^2y^2z^4)(\frac{-5}{3}x^4yz)\)
\(=(\frac{-1}{64}.4.\frac{-5}{3})(x^8.x^2.x^4)(y^9.y^2.y)(z^{12}.z^4.z)\)
\(=\frac{5}{48}.x^{14}.y^{12}.z^{17}\)
5.
\(=(\frac{1}{16}.x^8.y^4z^2)(-8xyz^2).(-\frac{1}{2}x^4yz)\)
\(=(\frac{1}{16}.-8.\frac{-1}{2})(x^8.x.x^4)(y^4.y.y)(z^2.z^2.z)\)
\(=\frac{1}{4}.x^{13}.y^6.z^5\)
a )\(-x^2yz+12x^2yz-10x^2yz+x^2yz\)
\(=\left(-1+12-10+1\right)x^2yz\)
\(=2x^2yz\)
b ) \(11xy^2z^3-6xy^2z+20xy^2z^3\)
\(=\left(11xy^2z^3+20xy^2z^3\right)-6xy^2z\)
\(=31xy^2z^3-6xy^2z\)
c ) \(\left(92x^3y+51x^3y\right)-\left(105x^3y-7x^3y\right)\)
\(=143x^3y-98x^3y\)
\(=45x^3y\)
D = x6 - x4yz + x3 yz2 - x3y2z + x3y2z - z6 + 2018
=> D = -z6 + x3 yz2 + ( - x4) yz + x6 + 2018
=> D = - ( z6 - x3 yz2 + x4yz - x6 - 2018 )
.... :)