a)\(3x\left(x^2-2x\right)\)
\(=3x^3-6x^2\)
b) \(\left(27x^3-1\right):\left(9x^2+3x+1\right)\)
\(=\left(3x-1\right)\left(9x^2+3x+1\right):\left(9x^2+3x+1\right)\)
\(=3x-1\)
c) \(\dfrac{4y^3}{7x^2}.\dfrac{14x^3}{y}\)
\(=8xy^2\)
\(\)d)\(\dfrac{x^2-9}{2x+6}:\dfrac{3-x}{2}\)
\(=-\dfrac{\left(x-3\right)\left(x+3\right)}{2\left(x+3\right)}:\dfrac{x-3}{2}\)
\(=-\dfrac{\left(x+3\right)\left(x-3\right)}{2\left(x+3\right)}.\dfrac{2}{\left(x-3\right)}\)
\(=-1\)
a.3x(x2-2x)=3x3-6x2
b.(27x3-1) : (9x2+3x+1)=\([\left(3x\right)^3-1]:\left(9x^2+3x+1\right)=\left(3x-1\right)\left(9x^2+3x+1\right):\left(9x^2+3x+1\right)=3x-1\)