$\left(x^2xy+y^2\right)\left(x-y\right)$

$\int\left(\frac{2t^3+1}{\left(t^4+2t\right)^3}\right)dt$

$\frac{3x^3-x+1}{x+3}$

$-4x+8=x\:+8$

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

$\frac{1+sin\left(2x\right)+cos\left(2x\right)}{cos\left(x\right)+sin\left(x\right)}$

$\left(x^2-y^2\right)\left(x^2+xy+y^2\right)\left(x^2-xy+y^2\right)$