$$\frac{81b^4-16c^4}{3b+2c}$$

$$5\frac{dy}{dx}+8y=60,y\left(0\right)=0$$

$$\frac{dy}{dx}\left(\sqrt{xy}=x^8y+78\right)$$

$$6\left(3a\right)^5\left(4b^2\right)^1$$

$$27^{x^4}=9^{24}$$

$$\frac{1}{\sin^2a}-\frac{1}{\tan^2a}=1$$