$\lim_{x\to1}\frac{\left(x^2+x-2\right)sin\left(x-1\right)}{x^2-2x+1}$

$\left(4n-3n^3\right)-\left(3n^3+4n\right)$

$\frac{\left(4x+7\right)\left(4x-7\right)}{\left(xy\right)\left(5y\right)}$

$x+3y=4\:$

$27x^3y^3-64x^3y^6$

$\int\frac{3x-2}{\left(x+4\right)\left(x-1\right)}dx$

$\lim_{x\to-\infty}\sqrt{4x^2+3}$