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A=\(\frac{-3.2.4}{2.4.3.5}x^6y^4z^2=\frac{-1}{5}x^6y^4z^2.\)
Học tốt
\(\left(\frac{1}{3}xy^2z^2\right)^2.\left(\frac{-1}{2}x^2y\right)=\frac{-1}{18}x^4y^5z^4\)
Nhớ tick cho mình nha!
\(\frac{1}{2}xy^4z^3\cdot\left(-\frac{1}{5}x^2y\right)^2\cdot\left(-z\right)^5\)
\(=\left[\frac{1}{2}\cdot\left(-\frac{1}{5}\right)\cdot1\right]\left(x\cdot x^4\right)\left(y^4y^2\right)\left[z^3\cdot\left(-z\right)^5\right]\)
\(=\frac{1}{10}x^5y^6z^8\)
b) x2yz * ( 2xy )2z
= x2yz * 4 x2y2z
= 4 ( x2 * x2 ) ( y * y2 ) ( z * z )
= 4x4y3z2
1.
\((\frac{1}{3}xy)^2.x^3+\frac{3}{2}(2x)^3(-\frac{7}{4}x^2y^2)-\frac{2}{3}x^5y^2\)
\(=(\frac{1}{9}x^2y^2)x^3+\frac{3}{2}(8x^3)(-\frac{7}{4}x^2y^2)-\frac{2}{3}x^5y^2\)
\(=\frac{1}{9}(x^2.x^3)y^2+(\frac{3}{2}.8.\frac{-7}{4})(x^3.x^2).y^2-\frac{2}{3}x^5y^2\)
\(=\frac{1}{9}x^5y^2-21x^5y^2-\frac{2}{3}x^5y^2=\frac{-194}{9}x^5y^2\)
2.
\(\frac{-2}{5}x^2y(-y^6)+\frac{3}{2}xy(\frac{-1}{15}xy^6)+(-2xy)^2y^5\)
\(=\frac{2}{5}x^2(y.y^6)+(\frac{3}{2}.\frac{-1}{15})(x.x).(y.y^6)+4x^2(y^2.y^5)\)
\(=\frac{2}{5}x^2y^7-\frac{1}{10}x^2y^7+4x^2y^7=\frac{43}{10}x^2y^7\)
3.
\(\frac{3}{7}xy^2z+\frac{1}{2}x^3y^2+\frac{1}{3}x^3y^2-\frac{3}{7}xy^2z\)
\(=(\frac{3}{7}xy^2z-\frac{3}{7}xy^2z)+(\frac{1}{2}x^3y^2+\frac{1}{3}x^3y^2)\)
\(=\frac{5}{6}x^3y^2\)
4.
\(\frac{2}{3}xy^2-\frac{5}{2}yz+\frac{1}{2}xy^2-\frac{2}{3}yz\)
\(=(\frac{2}{3}xy^2+\frac{1}{2}xy^2)-(\frac{5}{2}yz+\frac{2}{3}yz)\)
\(=\frac{7}{6}xy^2+\frac{19}{6}yz\)
5.
\(\frac{3}{2}xy^2z^5-\frac{5}{4}xyz^2+\frac{4}{3}xy^2z^5+\frac{1}{2}xyz^2\)
\(=(\frac{3}{2}xy^2z^5+\frac{4}{3}xy^2z^5)+(\frac{-5}{4}xyz^2+\frac{1}{2}xyz^2)\)
\(=\frac{17}{6}xy^2z^5-\frac{3}{4}xyz^2\)
B1
a) 3x2y3.(-6x3y )
\(=\left(3.-6\right)\left(x^2.x^3\right)\left(y^3y\right)\)
\(=-18x^5y^{\text{4 }}\)
B2
a), b)
\(A=\left(\frac{-3}{7}x^2y^2z\right).\left(\frac{-42}{9}xy^2z^2\right)\)
\(A=\left(\frac{-3}{7}.\frac{-42}{9}\right)\left(x^2.x\right)\left(y^2.y^2\right)\left(z.z^2\right)\)
\(A=2x^3y^4z^3\) - Bậc 10
Hệ số : 2
c) Thay x = 2 , y = 1 , z = -1 vào biểu thức A , ta có :
\(A=2.2^3.1^4.\left(-1\right)^3\)
\(A=2.8.1.\left(-1\right)\)
A = -16
Vậy , tại x = 2 , y = 1 , z = -1 thì A = -16
\(\frac{-1}{3}x^5y\left(\frac{-3}{7}\right)xy^2z=\left(\frac{-1}{3}.\frac{-3}{7}\right)x^5yxy^2z=\frac{1}{7}x^6y^3z\)
\(-\frac{1}{3}x^5y\left(-\frac{3}{7}\right)xy^2z\)
\(=\left[\left(-\frac{1}{3}\right)\cdot\left(-\frac{3}{7}\right)\right]x^5xyy^2z\)
\(=\frac{1}{7}x^6y^3z\)