$$f\left(x\right)=\left(x^3-2x+1\right)\left(2x^2+3x\right)$$

$$y-\frac{dy}{dx}=3\sin\left(2x\right)$$

$$\frac{x^3+4x^2-6x+12}{x-2}$$

$$xdx+\left(y-2\right)dy$$

$$8x^2-8$$

$$\left(\frac{x+3}{4}\right)\left(\frac{x-5}{-4}\right)\left(\frac{x-7}{-6}\right)$$

$$9a^2+27a+14$$