Question

Simplify: $\left(t+s^2\right)\left(t^2-s\right)$

Answer 1

Apply the concept of multiplication of polynomials:

Consider: $\left(t+s^2\right)\left(t^2-s\right)$

$$\begin{gathered} t\left(t^2-s\right)+s^2\left(t^2-s\right) \\ {t}^3-st+s^2{t}^2-s^3 \\ {t}^3-s^3-st+s^2{t}^2 \end{gathered}$$

Hence, $\left(t+s^2\right)\left(t^2-s\right)$ is $t^3-s^3+s^2{t}^2-st$