\(a,\dfrac{-15x\left(x-y\right)}{3\left(y-x\right)}=\dfrac{-15x\left(x-y\right)}{-3\left(x-y\right)}=\dfrac{-15x}{-3}=5x\)
\(b,\dfrac{2xy^2\left(5y-3x\right)}{4x^2y\left(3x-5y\right)^2}=\dfrac{-2xy^2\left(3x-5y\right)}{4x^2y\left(3x-5y\right)^2}=\dfrac{-y}{2x\left(3x-5y\right)}\)
\(c,\dfrac{8xy\left(3x-1\right)^3}{12x^3\left(1-3x\right)}=\dfrac{8xy\left(3x-1\right)^3}{-12x^3\left(3x-1\right)}=\dfrac{2y\left(3x-1\right)^2}{-3x^2}=\dfrac{-2y\left(3x-1\right)^2}{3x^2}\)
a)
\(\dfrac{-15x\left(x-y\right)}{3\left(y-x\right)}\\ =\dfrac{15x\left(y-x\right)}{3\left(y-x\right)}\\ =5x\)
b)
\(\dfrac{2xy^2\left(5y-3x\right)}{4x^2y\left(3x-5y\right)^2}\\ =\dfrac{2x^2\left(5y-3x\right)}{4x^2y\left(5y-3x\right)^2}\\ =\dfrac{1}{2y\left(5y-3x\right)}\)
c)
\(\dfrac{8xy\left(3x-1\right)^3}{12x^3\left(1-3x\right)}\\ =\dfrac{-8xy\left(1-3x\right)^3}{12x^3\left(1-3x\right)}\\ =\dfrac{-2y\left(1-3x\right)^2}{3x^2}\)


