Chapter 8.4, Problem 16PPS

To determine

To find: The product ${\left(8-m\right)}^2$

Answer to Problem 16PPS

  $m^2-16m+64$

Explanation of Solution

Given:

  ${\left(6p-1\right)}^2$

Calculation:

The given expression is ${\left(8-m\right)}^2$

Apply the formula ${\left(a-b\right)}^2=a^2-2ab+b^2$ and then simplify

  $\begin{array}{l}{\left(8-m\right)}^2\\ ={\left(8\right)}^2-2\cdot 8\cdot m+{\left(m\right)}^2\\ =64-16m+m^2\\ =m^2-16m+64\end{array}$