$$\left(-3a^2b\right)\cdot\left(8ab^5\right)$$

$$p^2-2p+1$$

$$\int\left(x^{3}+1\right)^{4}\left(3x^{2}\right)dx$$

$$\left(-1\right)^{2\cdot3}-1^3+\left(-1\right)^{3-1}$$

$$\frac{1}{2\:}a^3b^4-\frac{3}{4}a^2b$$

$$\frac{dy}{dx}=\:\:\sin\left(5x\right)\cos\left(5x\right)$$