Question

Evaluate and simplify the indicated quantities in Exercises 35–41.
$(1,t,t^2)-(t,t^2,t^3)$

Short answer

The simplification of $(1,t,t^2)-(t,t^2,t^3)$is $(1-t,t(1-t),t^2(1-t\left)\right)$.

Step-by-step solution

Step 1. Given Information.

The quantities:

$(1,t,t^2)-(t,t^2,t^3)$

Step 2. Subtract the appropriate terms.

By subtracting the terms, we get,

$$\begin{gathered} (1,t,t^2)-(t,t^2,t^3)=(1-t,t-t^2,t^2-t^3) \\ =(1-t,t(1-t),t^2(1-t\left)\right) \end{gathered}$$