Упростите выражение (1/3*x^2-x+3)/(x-0,4):(x^3+27)/(75x^2-12).

\[\frac{\frac{1}{3}x^{2} - x + 3}{x - 0,4}\ :\frac{x^{3} + 27}{75x^{2} - 12} =\]

\[= \frac{\frac{1}{3} \cdot \left( x^{2} - 3x + 9 \right) \cdot 75 \cdot \left( x^{2} - 0,16 \right)}{(x - 0,4)(x + 3)\left( x^{2} - 3x + 9 \right)} =\]

\[= \frac{25 \cdot (x - 0,4)(x + 0,4)}{(x - 0,4)(x + 3)} =\]

\[= \frac{25 \cdot (x + 0,4)}{x + 3} = \frac{25x + 10}{x + 3}.\]