$4x^2y''\:-4y'+4y$

$\frac{sin\left(x\right)+sin\left(x\right)cos\left(x\right)}{sec\left(x\right)+1}$

$\lim_{x\to a}\left(\frac{x^3-ax^2-a^2x+a^3}{x^2-a^2}\right)$

$2\log_a\left(x\right)-\log_a\left(y\right)$

$\int_0^{\infty}\sqrt[5]{x^3}dx$

$-6x^5\cdot3x^3$

$\ln\left(\sqrt[3]{\frac{\left(x-1\right)}{\left(x+1\right)}}\right)$