Chapter 8.4, Problem 38PPE

To determine

To simplify the expression ${\left(4s-t\right)}^2$ .

Answer to Problem 38PPE

  ${\left(4s-t\right)}^2=16s^2-8st+t^2$

Explanation of Solution

Given:

  ${\left(4s-t\right)}^2$

Concept used:

  ${\left(a-b\right)}^2=a^2-2ab+b^2$

Calculation:

  $\begin{array}{l}{\left(4s-t\right)}^2={\left(4s\right)}^2-2\left(4s\right)\left(t\right)+t^2\\ =16s^2-8st+t^2\end{array}$