$$8sin^2xcos^2x$$

$$18m^2n^4-12m^2n^3+24m^2n^2$$

$$\int\left(\frac{\left(3-x^2\right)}{\left(\left(x-4\right)^6\right)}\right)dx$$

$$\frac{dy}{dx}=7x^6y$$

$$\frac{b^3+27}{b+3}$$

$$\int\left(x^3-3x^5+5x^4\right)dx$$