a: \(=\dfrac{xy^2}{2xy}-\dfrac{4}{3}:2\cdot\dfrac{x^2y^3}{xy}+\dfrac{6}{5}:2\cdot\dfrac{x^3y^2}{xy}\)
\(=\dfrac{1}{2}y-\dfrac{2}{3}xy+\dfrac{3}{5}x^2y\)
b: \(=x^3:\dfrac{-1}{3}x+3x^2y:\dfrac{1}{3}x-5xy^2:\dfrac{1}{3}x=-3x^3+9xy-15y^2\)
c: \(=\dfrac{3}{4}:\dfrac{3}{5}\cdot\dfrac{a^3b^6c^2}{a^3bc}+\dfrac{6}{5}:\dfrac{3}{5}\cdot\dfrac{a^4b^3c}{a^3bc}-\dfrac{9}{10}:\dfrac{3}{5}\cdot\dfrac{a^5b^2c^3}{a^3bc}\)
\(=\dfrac{5}{4}b^5c+2ab^2-\dfrac{3}{2}a^2bc^2\)
d: \(=\dfrac{3\left(a-b\right)^5}{3\left(a-b\right)^2}-\dfrac{6\left(a-b\right)^4}{3\left(a-b\right)^2}-\dfrac{21\left(a-b\right)^3}{3\left(a-b\right)^2}+\dfrac{9\left(a-b\right)^2}{3\left(a-b\right)^2}\)
\(=\left(a-b\right)^3-2\left(a-b\right)^2-7\left(a-b\right)+3\)
a, \(=\dfrac{1}{2}y-\dfrac{2}{3}xy^2+\dfrac{3}{5}x^2y\)
b, \(=-3x^2+9xy-15y^2\)
c, \(=\dfrac{5}{4}b^3c+2ab^2-\dfrac{3}{2}a^2bc^2\)
d, \(=\left(a-b\right)^3-2\left(a-b\right)^2-7\left(a-b\right)+3\)
a) \(\dfrac{1}{2}y-\dfrac{2}{3}xy^2+\dfrac{3}{5}x^2y\)
b)\(-3x^2+9xy-15y^2\)
c)\(\dfrac{5}{4}b^5c+2ab^2-\dfrac{3}{2}a^2bc^2\)
d)\(\left(a-b\right)^3-2\left(a-b\right)^2+7\left(a-b\right)+3\)
