$$\sin\left(^3\right)w=\left(1-cos^2w\right)sinw$$

$$\frac{12x^2y^2}{4xy}$$

$$x^3-4x^2+2x-5\left(-8x^4+5x^2-10x-15\right)$$

$$20x^2+140$$

$$x^2+\:xy+y\:\cdot\:x-y$$

$$\frac{dy}{dx}=\frac{2e^{2x}}{y}$$

$$5\left(1\right)^2-3\left(-2\right)$$