$\frac{3x^2+2x-3}{x-2}$

$\left(x+8\right)y'=7y$

$2n^2+13n+15$

$\frac{\left(2xos\left(x\right)^4+2sin\left(x\right)^4-2cos\left(x\right)^2sin\left(x\right)^2\right)}{sin\left(x\right)^3cos\left(x\right)^3}$

$_{\:\frac{2x-1}{x-1}\:x\to1}$

$\int\frac{2x^2-5}{\left(x^2+4\right)\left(x^2-9\right)}dx$

$x\frac{dy}{dx}-y=e^{3x}$