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

$7\left(x^2+2x\right)$

$\frac{5}{3}x^3+\frac{1}{9}x^3$

$\left(-2c^2+7c-7\right)-\left(-5c^3-6c^2+7\right)$

$3\sin^2z=4\cos^2z$

$f\left(x\right)=4x-3x^5+2x^{-3}$

$\int x\left(4w-1\right)^3dw$