Chapter 5.6, Problem 2OE

To determine

To Write: The square ${\left(t-2\right)}^2$ as trinomial.

Answer to Problem 2OE

The trinomial for the square ${\left(t-2\right)}^2$ is $t^2-4t+4$

Explanation of Solution

Given information:

The square ${\left(t-2\right)}^2$

Concept and Formula Used:

Identity ${\left(a-b\right)}^2=a^2-2ab+b^2,{\left(ab\right)}^m=a^m{b}^m\&{\left(a^m\right)}^n=a^{mn}$

Calculation:

The given square is ${\left(t-2\right)}^2$

Using the identity

  $\begin{array}{l}{\left(a-b\right)}^2=a^2-2ab+b^2\\ {\left(t-2\right)}^2={\left(t\right)}^2-2\left(t\right)\left(2\right)+{\left(2\right)}^2\\ {\left(t-2\right)}^2=t^2-4t+4\end{array}$

Conclusion:

The trinomial for the square ${\left(t-2\right)}^2$ is $t^2-4t+4$