$7y^2\left(-4x-2y\right)$

$-3e^{-2y}=2e^{3x}+c$

$\frac{x^2-6x+8}{x-2}$

$\lim_{x\to\infty}\left(\frac{\left(x^3+x^2\right)}{x^3+\left(\sqrt{x^3+1}\right)}\right)$

$3c^2-4c-4$

$\int\frac{-2x+4}{3x^2-5x-2}dx$

$\lim_{x\to\infty}\left(\frac{4x^2+9x}{3x^4+7x^3-29}\right)$